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11,625,740

22 × 5 × 72 × 11863
Abundant Even Composite

11,625,740 factors as 2^2 × 5 × 7^2 × 11863. Its 36 positive divisors give a proper-divisor sum of 16,776,676, so this integer is abundant. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 11863
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 28,402,416
Proper Divisor Sum 16,776,676
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #11625737 ← → #11625749

Radix Representation

Decimal 11625740
Binary 101100010110010100001100 (24 bits)
Octal 0o54262414
Hexadecimal 0xB1650C

Divisor Catalog (36)

1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 11,863 23,726 47,452 59,315 83,041 118,630 166,082 237,260 332,164 415,205 581,287 830,410 1,162,574 1,660,820 2,325,148 2,906,435 5,812,870 11,625,740

Collatz Trajectory (277 steps to reach 1)

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

11,625,740 5,812,870 2,906,435 8,719,306 4,359,653 13,078,960 6,539,480 3,269,740 1,634,870 817,435 2,452,306 1,226,153 3,678,460 1,839,230 919,615 2,758,846 1,379,423 4,138,270 2,069,135 6,207,406 3,103,703 9,311,110 4,655,555 13,966,666 6,983,333 20,950,000 10,475,000 5,237,500 2,618,750 1,309,375 3,928,126 1,964,063 5,892,190 2,946,095 8,838,286 4,419,143 13,257,430 6,628,715 19,886,146 9,943,073 29,829,220 14,914,610 7,457,305 22,371,916 11,185,958 5,592,979 16,778,938 8,389,469 25,168,408 12,584,204 6,292,102 3,146,051 9,438,154 4,719,077 14,157,232 7,078,616 3,539,308 1,769,654 884,827 2,654,482

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