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971,865

33 × 5 × 23 × 313
Deficient Odd Composite

971,865 factors as 3^3 × 5 × 23 × 313. Its 32 positive divisors give a proper-divisor sum of 836,775, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 23 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,808,640
Proper Divisor Sum 836,775
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #971863 ← → #971899

Radix Representation

Decimal 971865
Binary 11101101010001011001 (20 bits)
Octal 0o3552131
Hexadecimal 0xED459

Divisor Catalog (32)

1 3 5 9 15 23 27 45 69 115 135 207 313 345 621 939 1,035 1,565 2,817 3,105 4,695 7,199 8,451 14,085 21,597 35,995 42,255 64,791 107,985 194,373 323,955 971,865

Collatz Trajectory (95 steps to reach 1)

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

971,865 2,915,596 1,457,798 728,899 2,186,698 1,093,349 3,280,048 1,640,024 820,012 410,006 205,003 615,010 307,505 922,516 461,258 230,629 691,888 345,944 172,972 86,486 43,243 129,730 64,865 194,596 97,298 48,649 145,948 72,974 36,487 109,462 54,731 164,194 82,097 246,292 123,146 61,573 184,720 92,360 46,180 23,090 11,545 34,636 17,318 8,659 25,978 12,989 38,968 19,484 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166

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