972,464

2⁴ × 60779

972,464 factors as 2^4 × 60779. Its 10 positive divisors give a proper-divisor sum of 911,716, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^4 × 60779

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,884,180

Proper Divisor Sum 911,716

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #972443 ← → #972469

Radix Representation

Decimal	972464
Binary	11101101011010110000 (20 bits)
Octal	0o3553260
Hexadecimal	0xED6B0

Divisor Catalog (10)

1 2 4 8 16 60,779 121,558 243,116 486,232 972,464

Collatz Trajectory (183 steps to reach 1)

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

972,464 486,232 243,116 121,558 60,779 182,338 91,169 273,508 136,754 68,377 205,132 102,566 51,283 153,850 76,925 230,776 115,388 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372 686 343 1,030

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