67,526,120

2³ × 5 × 1688153

67,526,120 factors as 2^3 × 5 × 1688153. Its 16 positive divisors give a proper-divisor sum of 84,407,740, so this integer is abundant. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 1688153

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 151,933,860

Proper Divisor Sum 84,407,740

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #67526117 ← → #67526131

Radix Representation

Decimal	67526120
Binary	100000001100101110111101000 (27 bits)
Octal	0o401456750
Hexadecimal	0x4065DE8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 1,688,153 3,376,306 6,752,612 8,440,765 13,505,224 16,881,530 33,763,060 67,526,120

Collatz Trajectory (277 steps to reach 1)

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

67,526,120 33,763,060 16,881,530 8,440,765 25,322,296 12,661,148 6,330,574 3,165,287 9,495,862 4,747,931 14,243,794 7,121,897 21,365,692 10,682,846 5,341,423 16,024,270 8,012,135 24,036,406 12,018,203 36,054,610 18,027,305 54,081,916 27,040,958 13,520,479 40,561,438 20,280,719 60,842,158 30,421,079 91,263,238 45,631,619 136,894,858 68,447,429 205,342,288 102,671,144 51,335,572 25,667,786 12,833,893 38,501,680 19,250,840 9,625,420 4,812,710 2,406,355 7,219,066 3,609,533 10,828,600 5,414,300 2,707,150 1,353,575 4,060,726 2,030,363 6,091,090 3,045,545 9,136,636 4,568,318 2,284,159 6,852,478 3,426,239 10,278,718 5,139,359 15,418,078

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