971,375

5³ × 19 × 409

971,375 factors as 5^3 × 19 × 409. Its 16 positive divisors give a proper-divisor sum of 307,825, so this integer is deficient. The Collatz stopping time is 289 steps.

Prime Factor Structure

Factorization String 5^3 × 19 × 409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,279,200

Proper Divisor Sum 307,825

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #971371 ← → #971381

Radix Representation

Decimal	971375
Binary	11101101001001101111 (20 bits)
Octal	0o3551157
Hexadecimal	0xED26F

Divisor Catalog (16)

1 5 19 25 95 125 409 475 2,045 2,375 7,771 10,225 38,855 51,125 194,275 971,375

Collatz Trajectory (289 steps to reach 1)

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

971,375 2,914,126 1,457,063 4,371,190 2,185,595 6,556,786 3,278,393 9,835,180 4,917,590 2,458,795 7,376,386 3,688,193 11,064,580 5,532,290 2,766,145 8,298,436 4,149,218 2,074,609 6,223,828 3,111,914 1,555,957 4,667,872 2,333,936 1,166,968 583,484 291,742 145,871 437,614 218,807 656,422 328,211 984,634 492,317 1,476,952 738,476 369,238 184,619 553,858 276,929 830,788 415,394 207,697 623,092 311,546 155,773 467,320 233,660 116,830 58,415 175,246 87,623 262,870 131,435 394,306 197,153 591,460 295,730 147,865 443,596 221,798

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