λ
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Atlas › Integer Profiles › Node 62,629,240

62,629,240

23 × 5 × 107 × 14633
Abundant Even Composite

62,629,240 factors as 2^3 × 5 × 107 × 14633. Its 32 positive divisors give a proper-divisor sum of 79,613,240, so this integer is abundant. The Collatz stopping time is 357 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 107 × 14633
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 142,242,480
Proper Divisor Sum 79,613,240
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #62629219 ← → #62629243

Radix Representation

Decimal 62629240
Binary 11101110111010010101111000 (26 bits)
Octal 0o356722570
Hexadecimal 0x3BBA578

Divisor Catalog (32)

1 2 4 5 8 10 20 40 107 214 428 535 856 1,070 2,140 4,280 14,633 29,266 58,532 73,165 117,064 146,330 292,660 585,320 1,565,731 3,131,462 6,262,924 7,828,655 12,525,848 15,657,310 31,314,620 62,629,240

Collatz Trajectory (357 steps to reach 1)

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

62,629,240 31,314,620 15,657,310 7,828,655 23,485,966 11,742,983 35,228,950 17,614,475 52,843,426 26,421,713 79,265,140 39,632,570 19,816,285 59,448,856 29,724,428 14,862,214 7,431,107 22,293,322 11,146,661 33,439,984 16,719,992 8,359,996 4,179,998 2,089,999 6,269,998 3,134,999 9,404,998 4,702,499 14,107,498 7,053,749 21,161,248 10,580,624 5,290,312 2,645,156 1,322,578 661,289 1,983,868 991,934 495,967 1,487,902 743,951 2,231,854 1,115,927 3,347,782 1,673,891 5,021,674 2,510,837 7,532,512 3,766,256 1,883,128 941,564 470,782 235,391 706,174 353,087 1,059,262 529,631 1,588,894 794,447 2,383,342

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