67,439,164

2² × 13 × 1296907

67,439,164 factors as 2^2 × 13 × 1296907. Its 12 positive divisors give a proper-divisor sum of 59,657,820, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 1296907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 127,096,984

Proper Divisor Sum 59,657,820

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #67439143 ← → #67439173

Radix Representation

Decimal	67439164
Binary	100000001010000101000111100 (27 bits)
Octal	0o401205074
Hexadecimal	0x4050A3C

Divisor Catalog (12)

1 2 4 13 26 52 1,296,907 2,593,814 5,187,628 16,859,791 33,719,582 67,439,164

Collatz Trajectory (189 steps to reach 1)

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

67,439,164 33,719,582 16,859,791 50,579,374 25,289,687 75,869,062 37,934,531 113,803,594 56,901,797 170,705,392 85,352,696 42,676,348 21,338,174 10,669,087 32,007,262 16,003,631 48,010,894 24,005,447 72,016,342 36,008,171 108,024,514 54,012,257 162,036,772 81,018,386 40,509,193 121,527,580 60,763,790 30,381,895 91,145,686 45,572,843 136,718,530 68,359,265 205,077,796 102,538,898 51,269,449 153,808,348 76,904,174 38,452,087 115,356,262 57,678,131 173,034,394 86,517,197 259,551,592 129,775,796 64,887,898 32,443,949 97,331,848 48,665,924 24,332,962 12,166,481 36,499,444 18,249,722 9,124,861 27,374,584 13,687,292 6,843,646 3,421,823 10,265,470 5,132,735 15,398,206

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