972,632

2³ × 121579

972,632 factors as 2^3 × 121579. Its 8 positive divisors give a proper-divisor sum of 851,068, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^3 × 121579

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,823,700

Proper Divisor Sum 851,068

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #972623 ← → #972637

Radix Representation

Decimal	972632
Binary	11101101011101011000 (20 bits)
Octal	0o3553530
Hexadecimal	0xED758

Divisor Catalog (8)

1 2 4 8 121,579 243,158 486,316 972,632

Collatz Trajectory (214 steps to reach 1)

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

972,632 486,316 243,158 121,579 364,738 182,369 547,108 273,554 136,777 410,332 205,166 102,583 307,750 153,875 461,626 230,813 692,440 346,220 173,110 86,555 259,666 129,833 389,500 194,750 97,375 292,126 146,063 438,190 219,095 657,286 328,643 985,930 492,965 1,478,896 739,448 369,724 184,862 92,431 277,294 138,647 415,942 207,971 623,914 311,957 935,872 467,936 233,968 116,984 58,492 29,246 14,623 43,870 21,935 65,806 32,903 98,710 49,355 148,066 74,033 222,100

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