71,050,756

2² × 7 × 2537527

71,050,756 factors as 2^2 × 7 × 2537527. Its 12 positive divisors give a proper-divisor sum of 71,050,812, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 2537527

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 142,101,568

Proper Divisor Sum 71,050,812

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #71050741 ← → #71050813

Radix Representation

Decimal	71050756
Binary	100001111000010011000000100 (27 bits)
Octal	0o417023004
Hexadecimal	0x43C2604

Divisor Catalog (12)

1 2 4 7 14 28 2,537,527 5,075,054 10,150,108 17,762,689 35,525,378 71,050,756

Collatz Trajectory (153 steps to reach 1)

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

71,050,756 35,525,378 17,762,689 53,288,068 26,644,034 13,322,017 39,966,052 19,983,026 9,991,513 29,974,540 14,987,270 7,493,635 22,480,906 11,240,453 33,721,360 16,860,680 8,430,340 4,215,170 2,107,585 6,322,756 3,161,378 1,580,689 4,742,068 2,371,034 1,185,517 3,556,552 1,778,276 889,138 444,569 1,333,708 666,854 333,427 1,000,282 500,141 1,500,424 750,212 375,106 187,553 562,660 281,330 140,665 421,996 210,998 105,499 316,498 158,249 474,748 237,374 118,687 356,062 178,031 534,094 267,047 801,142 400,571 1,201,714 600,857 1,802,572 901,286 450,643

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