λ
Ratio Atlas

64,355,132

22 × 17 × 31 × 30529
Deficient Even Composite

64,355,132 factors as 2^2 × 17 × 31 × 30529. Its 24 positive divisors give a proper-divisor sum of 58,741,828, so this integer is deficient. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 31 × 30529
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 123,096,960
Proper Divisor Sum 58,741,828
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #64355131 ← → #64355153

Radix Representation

Decimal 64355132
Binary 11110101011111101100111100 (26 bits)
Octal 0o365375474
Hexadecimal 0x3D5FB3C

Divisor Catalog (24)

Collatz Trajectory (277 steps to reach 1)

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

64,355,132 32,177,566 16,088,783 48,266,350 24,133,175 72,399,526 36,199,763 108,599,290 54,299,645 162,898,936 81,449,468 40,724,734 20,362,367 61,087,102 30,543,551 91,630,654 45,815,327 137,445,982 68,722,991 206,168,974 103,084,487 309,253,462 154,626,731 463,880,194 231,940,097 695,820,292 347,910,146 173,955,073 521,865,220 260,932,610 130,466,305 391,398,916 195,699,458 97,849,729 293,549,188 146,774,594 73,387,297 220,161,892 110,080,946 55,040,473 165,121,420 82,560,710 41,280,355 123,841,066 61,920,533 185,761,600 92,880,800 46,440,400 23,220,200 11,610,100 5,805,050 2,902,525 8,707,576 4,353,788 2,176,894 1,088,447 3,265,342 1,632,671 4,898,014 2,449,007

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