971,433

3⁴ × 67 × 179

971,433 factors as 3^4 × 67 × 179. Its 20 positive divisors give a proper-divisor sum of 509,607, so this integer is deficient. The Collatz stopping time is 289 steps.

Prime Factor Structure

Factorization String 3^4 × 67 × 179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,481,040

Proper Divisor Sum 509,607

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #971429 ← → #971441

Radix Representation

Decimal	971433
Binary	11101101001010101001 (20 bits)
Octal	0o3551251
Hexadecimal	0xED2A9

Divisor Catalog (20)

Collatz Trajectory (289 steps to reach 1)

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

971,433 2,914,300 1,457,150 728,575 2,185,726 1,092,863 3,278,590 1,639,295 4,917,886 2,458,943 7,376,830 3,688,415 11,065,246 5,532,623 16,597,870 8,298,935 24,896,806 12,448,403 37,345,210 18,672,605 56,017,816 28,008,908 14,004,454 7,002,227 21,006,682 10,503,341 31,510,024 15,755,012 7,877,506 3,938,753 11,816,260 5,908,130 2,954,065 8,862,196 4,431,098 2,215,549 6,646,648 3,323,324 1,661,662 830,831 2,492,494 1,246,247 3,738,742 1,869,371 5,608,114 2,804,057 8,412,172 4,206,086 2,103,043 6,309,130 3,154,565 9,463,696 4,731,848 2,365,924 1,182,962 591,481 1,774,444 887,222 443,611 1,330,834

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