λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,648

10,071,648

25 × 33 × 11657
Abundant Even Composite

10,071,648 factors as 2^5 × 3^3 × 11657. Its 48 positive divisors give a proper-divisor sum of 19,306,512, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 11657
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 29,378,160
Proper Divisor Sum 19,306,512
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10071637 ← → #10071679

Radix Representation

Decimal 10071648
Binary 100110011010111001100000 (24 bits)
Octal 0o46327140
Hexadecimal 0x99AE60

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11,657 23,314 34,971 46,628 69,942 93,256 104,913 139,884 186,512 209,826 279,768 314,739 373,024 419,652 559,536 629,478 839,304 1,119,072 1,258,956 1,678,608 2,517,912 3,357,216 5,035,824 10,071,648

Collatz Trajectory (158 steps to reach 1)

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

10,071,648 5,035,824 2,517,912 1,258,956 629,478 314,739 944,218 472,109 1,416,328 708,164 354,082 177,041 531,124 265,562 132,781 398,344 199,172 99,586 49,793 149,380 74,690 37,345 112,036 56,018 28,009 84,028 42,014 21,007 63,022 31,511 94,534 47,267 141,802 70,901 212,704 106,352 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,071,647 Browse Full Index Next Integer #10,071,649 →