76,005,382

2 × 113 × 336307

76,005,382 factors as 2 × 113 × 336307. Its 8 positive divisors give a proper-divisor sum of 39,011,954, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 113 × 336307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 115,017,336

Proper Divisor Sum 39,011,954

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #76005331 ← → #76005383

Radix Representation

Decimal	76005382
Binary	100100001111100000000000110 (27 bits)
Octal	0o441740006
Hexadecimal	0x487C006

Divisor Catalog (8)

1 2 113 226 336,307 672,614 38,002,691 76,005,382

Collatz Trajectory (179 steps to reach 1)

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

76,005,382 38,002,691 114,008,074 57,004,037 171,012,112 85,506,056 42,753,028 21,376,514 10,688,257 32,064,772 16,032,386 8,016,193 24,048,580 12,024,290 6,012,145 18,036,436 9,018,218 4,509,109 13,527,328 6,763,664 3,381,832 1,690,916 845,458 422,729 1,268,188 634,094 317,047 951,142 475,571 1,426,714 713,357 2,140,072 1,070,036 535,018 267,509 802,528 401,264 200,632 100,316 50,158 25,079 75,238 37,619 112,858 56,429 169,288 84,644 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351

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