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Atlas › Integer Profiles › Node 62,387,300

62,387,300

22 × 52 × 113 × 5521
Abundant Even Composite

62,387,300 factors as 2^2 × 5^2 × 113 × 5521. Its 36 positive divisors give a proper-divisor sum of 74,215,936, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 113 × 5521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 136,603,236
Proper Divisor Sum 74,215,936
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #62387267 ← → #62387321

Radix Representation

Decimal 62387300
Binary 11101101111111010001100100 (26 bits)
Octal 0o355772144
Hexadecimal 0x3B7F464

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 113 226 452 565 1,130 2,260 2,825 5,521 5,650 11,042 11,300 22,084 27,605 55,210 110,420 138,025 276,050 552,100 623,873 1,247,746 2,495,492 3,119,365 6,238,730 12,477,460 15,596,825 31,193,650 62,387,300

Collatz Trajectory (96 steps to reach 1)

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

62,387,300 31,193,650 15,596,825 46,790,476 23,395,238 11,697,619 35,092,858 17,546,429 52,639,288 26,319,644 13,159,822 6,579,911 19,739,734 9,869,867 29,609,602 14,804,801 44,414,404 22,207,202 11,103,601 33,310,804 16,655,402 8,327,701 24,983,104 12,491,552 6,245,776 3,122,888 1,561,444 780,722 390,361 1,171,084 585,542 292,771 878,314 439,157 1,317,472 658,736 329,368 164,684 82,342 41,171 123,514 61,757 185,272 92,636 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832

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