71,068,752

2⁴ × 3⁸ × 677

71,068,752 factors as 2^4 × 3^8 × 677. Its 90 positive divisors give a proper-divisor sum of 135,769,386, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^4 × 3^8 × 677

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 206,838,138

Proper Divisor Sum 135,769,386

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #71068733 ← → #71068793

Radix Representation

Decimal	71068752
Binary	100001111000110110001010000 (27 bits)
Octal	0o417066120
Hexadecimal	0x43C6C50

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 677 729 972 1,296 1,354 1,458 1,944 2,031 2,187 2,708 2,916 3,888 4,062 4,374 5,416 5,832 6,093 6,561 8,124 8,748 10,832 11,664 12,186 13,122 16,248 17,496 18,279 24,372 26,244 32,496 34,992 36,558 48,744 52,488

Collatz Trajectory (78 steps to reach 1)

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

71,068,752 35,534,376 17,767,188 8,883,594 4,441,797 13,325,392 6,662,696 3,331,348 1,665,674 832,837 2,498,512 1,249,256 624,628 312,314 156,157 468,472 234,236 117,118 58,559 175,678 87,839 263,518 131,759 395,278 197,639 592,918 296,459 889,378 444,689 1,334,068 667,034 333,517 1,000,552 500,276 250,138 125,069 375,208 187,604 93,802 46,901 140,704 70,352 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58

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