λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,917,360

23,917,360

24 × 5 × 47 × 6361
Abundant Even Composite

23,917,360 factors as 2^4 × 5 × 47 × 6361. Its 40 positive divisors give a proper-divisor sum of 32,882,576, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 47 × 6361
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 56,799,936
Proper Divisor Sum 32,882,576
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #23917357 ← → #23917367

Radix Representation

Decimal 23917360
Binary 1011011001111001100110000 (25 bits)
Octal 0o133171460
Hexadecimal 0x16CF330

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1,880 3,760 6,361 12,722 25,444 31,805 50,888 63,610 101,776 127,220 254,440 298,967 508,880 597,934 1,195,868 1,494,835 2,391,736 2,989,670 4,783,472 5,979,340 11,958,680 23,917,360

Collatz Trajectory (216 steps to reach 1)

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

23,917,360 11,958,680 5,979,340 2,989,670 1,494,835 4,484,506 2,242,253 6,726,760 3,363,380 1,681,690 840,845 2,522,536 1,261,268 630,634 315,317 945,952 472,976 236,488 118,244 59,122 29,561 88,684 44,342 22,171 66,514 33,257 99,772 49,886 24,943 74,830 37,415 112,246 56,123 168,370 84,185 252,556 126,278 63,139 189,418 94,709 284,128 142,064 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #23,917,359 Browse Full Index Next Integer #23,917,361 →