77,157,292

2² × 97 × 198859

77,157,292 factors as 2^2 × 97 × 198859. Its 12 positive divisors give a proper-divisor sum of 59,260,668, so this integer is deficient. The Collatz stopping time is 409 steps.

Prime Factor Structure

Factorization String 2^2 × 97 × 198859

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 136,417,960

Proper Divisor Sum 59,260,668

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #77157281 ← → #77157293

Radix Representation

Decimal	77157292
Binary	100100110010101001110101100 (27 bits)
Octal	0o446251654
Hexadecimal	0x49953AC

Divisor Catalog (12)

1 2 4 97 194 388 198,859 397,718 795,436 19,289,323 38,578,646 77,157,292

Collatz Trajectory (409 steps to reach 1)

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

77,157,292 38,578,646 19,289,323 57,867,970 28,933,985 86,801,956 43,400,978 21,700,489 65,101,468 32,550,734 16,275,367 48,826,102 24,413,051 73,239,154 36,619,577 109,858,732 54,929,366 27,464,683 82,394,050 41,197,025 123,591,076 61,795,538 30,897,769 92,693,308 46,346,654 23,173,327 69,519,982 34,759,991 104,279,974 52,139,987 156,419,962 78,209,981 234,629,944 117,314,972 58,657,486 29,328,743 87,986,230 43,993,115 131,979,346 65,989,673 197,969,020 98,984,510 49,492,255 148,476,766 74,238,383 222,715,150 111,357,575 334,072,726 167,036,363 501,109,090 250,554,545 751,663,636 375,831,818 187,915,909 563,747,728 281,873,864 140,936,932 70,468,466 35,234,233 105,702,700

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