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Atlas › Integer Profiles › Node 14,959,456

14,959,456

25 × 17 × 107 × 257
Abundant Even Composite

14,959,456 factors as 2^5 × 17 × 107 × 257. Its 48 positive divisors give a proper-divisor sum of 16,638,320, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 107 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,597,776
Proper Divisor Sum 16,638,320
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #14959429 ← → #14959481

Radix Representation

Decimal 14959456
Binary 111001000100001101100000 (24 bits)
Octal 0o71041540
Hexadecimal 0xE44360

Divisor Catalog (48)

1 2 4 8 16 17 32 34 68 107 136 214 257 272 428 514 544 856 1,028 1,712 1,819 2,056 3,424 3,638 4,112 4,369 7,276 8,224 8,738 14,552 17,476 27,499 29,104 34,952 54,998 58,208 69,904 109,996 139,808 219,992 439,984 467,483 879,968 934,966 1,869,932 3,739,864 7,479,728 14,959,456

Collatz Trajectory (174 steps to reach 1)

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

14,959,456 7,479,728 3,739,864 1,869,932 934,966 467,483 1,402,450 701,225 2,103,676 1,051,838 525,919 1,577,758 788,879 2,366,638 1,183,319 3,549,958 1,774,979 5,324,938 2,662,469 7,987,408 3,993,704 1,996,852 998,426 499,213 1,497,640 748,820 374,410 187,205 561,616 280,808 140,404 70,202 35,101 105,304 52,652 26,326 13,163 39,490 19,745 59,236 29,618 14,809 44,428 22,214 11,107 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440

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