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Atlas › Integer Profiles › Node 14,748,880

14,748,880

24 × 5 × 107 × 1723
Abundant Even Composite

14,748,880 factors as 2^4 × 5 × 107 × 1723. Its 40 positive divisors give a proper-divisor sum of 19,882,832, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 107 × 1723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 34,631,712
Proper Divisor Sum 19,882,832
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #14748869 ← → #14748887

Radix Representation

Decimal 14748880
Binary 111000010000110011010000 (24 bits)
Octal 0o70206320
Hexadecimal 0xE10CD0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1,070 1,712 1,723 2,140 3,446 4,280 6,892 8,560 8,615 13,784 17,230 27,568 34,460 68,920 137,840 184,361 368,722 737,444 921,805 1,474,888 1,843,610 2,949,776 3,687,220 7,374,440 14,748,880

Collatz Trajectory (81 steps to reach 1)

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

14,748,880 7,374,440 3,687,220 1,843,610 921,805 2,765,416 1,382,708 691,354 345,677 1,037,032 518,516 259,258 129,629 388,888 194,444 97,222 48,611 145,834 72,917 218,752 109,376 54,688 27,344 13,672 6,836 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74

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