42,606,532

2² × 71² × 2113

42,606,532 factors as 2^2 × 71^2 × 2113. Its 18 positive divisors give a proper-divisor sum of 33,055,642, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 71^2 × 2113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 75,662,174

Proper Divisor Sum 33,055,642

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #42606527 ← → #42606533

Radix Representation

Decimal	42606532
Binary	10100010100001111111000100 (26 bits)
Octal	0o242417704
Hexadecimal	0x28A1FC4

Divisor Catalog (18)

1 2 4 71 142 284 2,113 4,226 5,041 8,452 10,082 20,164 150,023 300,046 600,092 10,651,633 21,303,266 42,606,532

Collatz Trajectory (160 steps to reach 1)

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

42,606,532 21,303,266 10,651,633 31,954,900 15,977,450 7,988,725 23,966,176 11,983,088 5,991,544 2,995,772 1,497,886 748,943 2,246,830 1,123,415 3,370,246 1,685,123 5,055,370 2,527,685 7,583,056 3,791,528 1,895,764 947,882 473,941 1,421,824 710,912 355,456 177,728 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214

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