15,189,125

5³ × 7 × 17359

15,189,125 factors as 5^3 × 7 × 17359. Its 16 positive divisors give a proper-divisor sum of 6,476,155, so this integer is deficient. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 5^3 × 7 × 17359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 21,665,280

Proper Divisor Sum 6,476,155

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #15189107 ← → #15189157

Radix Representation

Decimal	15189125
Binary	111001111100010010000101 (24 bits)
Octal	0o71742205
Hexadecimal	0xE7C485

Divisor Catalog (16)

1 5 7 25 35 125 175 875 17,359 86,795 121,513 433,975 607,565 2,169,875 3,037,825 15,189,125

Collatz Trajectory (249 steps to reach 1)

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

15,189,125 45,567,376 22,783,688 11,391,844 5,695,922 2,847,961 8,543,884 4,271,942 2,135,971 6,407,914 3,203,957 9,611,872 4,805,936 2,402,968 1,201,484 600,742 300,371 901,114 450,557 1,351,672 675,836 337,918 168,959 506,878 253,439 760,318 380,159 1,140,478 570,239 1,710,718 855,359 2,566,078 1,283,039 3,849,118 1,924,559 5,773,678 2,886,839 8,660,518 4,330,259 12,990,778 6,495,389 19,486,168 9,743,084 4,871,542 2,435,771 7,307,314 3,653,657 10,960,972 5,480,486 2,740,243 8,220,730 4,110,365 12,331,096 6,165,548 3,082,774 1,541,387 4,624,162 2,312,081 6,936,244 3,468,122

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