792,952

2³ × 99119

792,952 factors as 2^3 × 99119. Its 8 positive divisors give a proper-divisor sum of 693,848, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^3 × 99119

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,486,800

Proper Divisor Sum 693,848

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #792941 ← → #792959

Radix Representation

Decimal	792952
Binary	11000001100101111000 (20 bits)
Octal	0o3014570
Hexadecimal	0xC1978

Divisor Catalog (8)

1 2 4 8 99,119 198,238 396,476 792,952

Collatz Trajectory (162 steps to reach 1)

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

792,952 396,476 198,238 99,119 297,358 148,679 446,038 223,019 669,058 334,529 1,003,588 501,794 250,897 752,692 376,346 188,173 564,520 282,260 141,130 70,565 211,696 105,848 52,924 26,462 13,231 39,694 19,847 59,542 29,771 89,314 44,657 133,972 66,986 33,493 100,480 50,240 25,120 12,560 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142

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