17,629,367

7² × 359783

17,629,367 factors as 7^2 × 359783. Its 6 positive divisors give a proper-divisor sum of 2,878,321, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 7^2 × 359783

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 20,507,688

Proper Divisor Sum 2,878,321

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #17629351 ← → #17629369

Radix Representation

Decimal	17629367
Binary	1000011010000000010110111 (25 bits)
Octal	0o103200267
Hexadecimal	0x10D00B7

Divisor Catalog (6)

1 7 49 359,783 2,518,481 17,629,367

Collatz Trajectory (151 steps to reach 1)

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

17,629,367 52,888,102 26,444,051 79,332,154 39,666,077 118,998,232 59,499,116 29,749,558 14,874,779 44,624,338 22,312,169 66,936,508 33,468,254 16,734,127 50,202,382 25,101,191 75,303,574 37,651,787 112,955,362 56,477,681 169,433,044 84,716,522 42,358,261 127,074,784 63,537,392 31,768,696 15,884,348 7,942,174 3,971,087 11,913,262 5,956,631 17,869,894 8,934,947 26,804,842 13,402,421 40,207,264 20,103,632 10,051,816 5,025,908 2,512,954 1,256,477 3,769,432 1,884,716 942,358 471,179 1,413,538 706,769 2,120,308 1,060,154 530,077 1,590,232 795,116 397,558 198,779 596,338 298,169 894,508 447,254 223,627 670,882

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