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Atlas › Integer Profiles › Node 62,336,712

62,336,712

23 × 3 × 37 × 70199
Abundant Even Composite

62,336,712 factors as 2^3 × 3 × 37 × 70199. Its 32 positive divisors give a proper-divisor sum of 97,719,288, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 70199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 160,056,000
Proper Divisor Sum 97,719,288
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #62336707 ← → #62336717

Radix Representation

Decimal 62336712
Binary 11101101110010111011001000 (26 bits)
Octal 0o355627310
Hexadecimal 0x3B72EC8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 70,199 140,398 210,597 280,796 421,194 561,592 842,388 1,684,776 2,597,363 5,194,726 7,792,089 10,389,452 15,584,178 20,778,904 31,168,356 62,336,712

Collatz Trajectory (114 steps to reach 1)

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

62,336,712 31,168,356 15,584,178 7,792,089 23,376,268 11,688,134 5,844,067 17,532,202 8,766,101 26,298,304 13,149,152 6,574,576 3,287,288 1,643,644 821,822 410,911 1,232,734 616,367 1,849,102 924,551 2,773,654 1,386,827 4,160,482 2,080,241 6,240,724 3,120,362 1,560,181 4,680,544 2,340,272 1,170,136 585,068 292,534 146,267 438,802 219,401 658,204 329,102 164,551 493,654 246,827 740,482 370,241 1,110,724 555,362 277,681 833,044 416,522 208,261 624,784 312,392 156,196 78,098 39,049 117,148 58,574 29,287 87,862 43,931 131,794 65,897

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