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Atlas › Integer Profiles › Node 62,336,034

62,336,034

2 × 33 × 179 × 6449
Abundant Even Composite

62,336,034 factors as 2 × 3^3 × 179 × 6449. Its 32 positive divisors give a proper-divisor sum of 76,983,966, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 179 × 6449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 139,320,000
Proper Divisor Sum 76,983,966
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #62335981 ← → #62336039

Radix Representation

Decimal 62336034
Binary 11101101110010110000100010 (26 bits)
Octal 0o355626042
Hexadecimal 0x3B72C22

Divisor Catalog (32)

1 2 3 6 9 18 27 54 179 358 537 1,074 1,611 3,222 4,833 6,449 9,666 12,898 19,347 38,694 58,041 116,082 174,123 348,246 1,154,371 2,308,742 3,463,113 6,926,226 10,389,339 20,778,678 31,168,017 62,336,034

Collatz Trajectory (96 steps to reach 1)

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

62,336,034 31,168,017 93,504,052 46,752,026 23,376,013 70,128,040 35,064,020 17,532,010 8,766,005 26,298,016 13,149,008 6,574,504 3,287,252 1,643,626 821,813 2,465,440 1,232,720 616,360 308,180 154,090 77,045 231,136 115,568 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834

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