11,672,500

2² × 5⁴ × 7 × 23 × 29

11,672,500 factors as 2^2 × 5^4 × 7 × 23 × 29. Its 120 positive divisors give a proper-divisor sum of 19,817,420, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^2 × 5^4 × 7 × 23 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 31,489,920

Proper Divisor Sum 19,817,420

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #11672491 ← → #11672513

Radix Representation

Decimal	11672500
Binary	101100100001101110110100 (24 bits)
Octal	0o54415664
Hexadecimal	0xB21BB4

Divisor Catalog (60 of 120)

1 2 4 5 7 10 14 20 23 25 28 29 35 46 50 58 70 92 100 115 116 125 140 145 161 175 203 230 250 290 322 350 406 460 500 575 580 625 644 667 700 725 805 812 875 1,015 1,150 1,250 1,334 1,450 1,610 1,750 2,030 2,300 2,500 2,668 2,875 2,900 3,220 3,335

Collatz Trajectory (96 steps to reach 1)

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

11,672,500 5,836,250 2,918,125 8,754,376 4,377,188 2,188,594 1,094,297 3,282,892 1,641,446 820,723 2,462,170 1,231,085 3,693,256 1,846,628 923,314 461,657 1,384,972 692,486 346,243 1,038,730 519,365 1,558,096 779,048 389,524 194,762 97,381 292,144 146,072 73,036 36,518 18,259 54,778 27,389 82,168 41,084 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004 78,002 39,001 117,004 58,502 29,251 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341

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