λ
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Atlas › Integer Profiles › Node 71,079,232

71,079,232

26 × 7 × 29 × 5471
Abundant Even Composite

71,079,232 factors as 2^6 × 7 × 29 × 5471. Its 56 positive divisors give a proper-divisor sum of 95,707,328, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 29 × 5471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 166,786,560
Proper Divisor Sum 95,707,328
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #71079157 ← → #71079251

Radix Representation

Decimal 71079232
Binary 100001111001001010101000000 (27 bits)
Octal 0o417112500
Hexadecimal 0x43C9540

Divisor Catalog (56)

1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1,624 1,856 3,248 5,471 6,496 10,942 12,992 21,884 38,297 43,768 76,594 87,536 153,188 158,659 175,072 306,376 317,318 350,144 612,752 634,636 1,110,613 1,225,504 1,269,272 2,221,226 2,451,008 2,538,544 4,442,452 5,077,088 8,884,904 10,154,176 17,769,808 35,539,616 71,079,232

Collatz Trajectory (65 steps to reach 1)

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

71,079,232 35,539,616 17,769,808 8,884,904 4,442,452 2,221,226 1,110,613 3,331,840 1,665,920 832,960 416,480 208,240 104,120 52,060 26,030 13,015 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10

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