λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,280,992

23,280,992

25 × 7 × 37 × 532
Abundant Even Composite

23,280,992 factors as 2^5 × 7 × 37 × 53^2. Its 72 positive divisors give a proper-divisor sum of 31,551,184, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 37 × 53^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 54,832,176
Proper Divisor Sum 31,551,184
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #23280967 ← → #23281009

Radix Representation

Decimal 23280992
Binary 1011000110011110101100000 (25 bits)
Octal 0o130636540
Hexadecimal 0x1633D60

Divisor Catalog (60 of 72)

1 2 4 7 8 14 16 28 32 37 53 56 74 106 112 148 212 224 259 296 371 424 518 592 742 848 1,036 1,184 1,484 1,696 1,961 2,072 2,809 2,968 3,922 4,144 5,618 5,936 7,844 8,288 11,236 11,872 13,727 15,688 19,663 22,472 27,454 31,376 39,326 44,944 54,908 62,752 78,652 89,888 103,933 109,816 157,304 207,866 219,632 314,608

Collatz Trajectory (154 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

23,280,992 11,640,496 5,820,248 2,910,124 1,455,062 727,531 2,182,594 1,091,297 3,273,892 1,636,946 818,473 2,455,420 1,227,710 613,855 1,841,566 920,783 2,762,350 1,381,175 4,143,526 2,071,763 6,215,290 3,107,645 9,322,936 4,661,468 2,330,734 1,165,367 3,496,102 1,748,051 5,244,154 2,622,077 7,866,232 3,933,116 1,966,558 983,279 2,949,838 1,474,919 4,424,758 2,212,379 6,637,138 3,318,569 9,955,708 4,977,854 2,488,927 7,466,782 3,733,391 11,200,174 5,600,087 16,800,262 8,400,131 25,200,394 12,600,197 37,800,592 18,900,296 9,450,148 4,725,074 2,362,537 7,087,612 3,543,806 1,771,903 5,315,710

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #23,280,991 Browse Full Index Next Integer #23,280,993 →