24,671,680

2⁶ × 5 × 11 × 43 × 163

24,671,680 factors as 2^6 × 5 × 11 × 43 × 163. Its 112 positive divisors give a proper-divisor sum of 41,311,424, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 11 × 43 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 65,983,104

Proper Divisor Sum 41,311,424

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #24671677 ← → #24671681

Radix Representation

Decimal	24671680
Binary	1011110000111010111000000 (25 bits)
Octal	0o136072700
Hexadecimal	0x17875C0

Divisor Catalog (60 of 112)

1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 160 163 172 176 215 220 320 326 344 352 430 440 473 652 688 704 815 860 880 946 1,304 1,376 1,630 1,720 1,760 1,793 1,892 2,365 2,608 2,752 3,260 3,440 3,520 3,586 3,784 4,730 5,216 6,520 6,880 7,009

Collatz Trajectory (154 steps to reach 1)

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

24,671,680 12,335,840 6,167,920 3,083,960 1,541,980 770,990 385,495 1,156,486 578,243 1,734,730 867,365 2,602,096 1,301,048 650,524 325,262 162,631 487,894 243,947 731,842 365,921 1,097,764 548,882 274,441 823,324 411,662 205,831 617,494 308,747 926,242 463,121 1,389,364 694,682 347,341 1,042,024 521,012 260,506 130,253 390,760 195,380 97,690 48,845 146,536 73,268 36,634 18,317 54,952 27,476 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121

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