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Atlas › Integer Profiles › Node 17,201,216

17,201,216

26 × 397 × 677
Deficient Even Composite

17,201,216 factors as 2^6 × 397 × 677. Its 28 positive divisors give a proper-divisor sum of 17,068,972, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^6 × 397 × 677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 34,270,188
Proper Divisor Sum 17,068,972
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #17201159 ← → #17201231

Radix Representation

Decimal 17201216
Binary 1000001100111100001000000 (25 bits)
Octal 0o101474100
Hexadecimal 0x1067840

Divisor Catalog (28)

1 2 4 8 16 32 64 397 677 794 1,354 1,588 2,708 3,176 5,416 6,352 10,832 12,704 21,664 25,408 43,328 268,769 537,538 1,075,076 2,150,152 4,300,304 8,600,608 17,201,216

Collatz Trajectory (138 steps to reach 1)

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

17,201,216 8,600,608 4,300,304 2,150,152 1,075,076 537,538 268,769 806,308 403,154 201,577 604,732 302,366 151,183 453,550 226,775 680,326 340,163 1,020,490 510,245 1,530,736 765,368 382,684 191,342 95,671 287,014 143,507 430,522 215,261 645,784 322,892 161,446 80,723 242,170 121,085 363,256 181,628 90,814 45,407 136,222 68,111 204,334 102,167 306,502 153,251 459,754 229,877 689,632 344,816 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106

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