17,402,765

5 × 19 × 37 × 4951

17,402,765 factors as 5 × 19 × 37 × 4951. Its 16 positive divisors give a proper-divisor sum of 5,178,355, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 5 × 19 × 37 × 4951

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 22,581,120

Proper Divisor Sum 5,178,355

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #17402761 ← → #17402767

Radix Representation

Decimal	17402765
Binary	1000010011000101110001101 (25 bits)
Octal	0o102305615
Hexadecimal	0x1098B8D

Divisor Catalog (16)

1 5 19 37 95 185 703 3,515 4,951 24,755 94,069 183,187 470,345 915,935 3,480,553 17,402,765

Collatz Trajectory (94 steps to reach 1)

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

17,402,765 52,208,296 26,104,148 13,052,074 6,526,037 19,578,112 9,789,056 4,894,528 2,447,264 1,223,632 611,816 305,908 152,954 76,477 229,432 114,716 57,358 28,679 86,038 43,019 129,058 64,529 193,588 96,794 48,397 145,192 72,596 36,298 18,149 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077

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