λ
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Atlas › Integer Profiles › Node 62,098,730

62,098,730

2 × 5 × 71 × 149 × 587
Deficient Even Composite

62,098,730 factors as 2 × 5 × 71 × 149 × 587. Its 32 positive divisors give a proper-divisor sum of 52,208,470, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2 × 5 × 71 × 149 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 114,307,200
Proper Divisor Sum 52,208,470
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #62098727 ← → #62098753

Radix Representation

Decimal 62098730
Binary 11101100111000110100101010 (26 bits)
Octal 0o354706452
Hexadecimal 0x3B38D2A

Divisor Catalog (32)

1 2 5 10 71 142 149 298 355 587 710 745 1,174 1,490 2,935 5,870 10,579 21,158 41,677 52,895 83,354 87,463 105,790 174,926 208,385 416,770 437,315 874,630 6,209,873 12,419,746 31,049,365 62,098,730

Collatz Trajectory (220 steps to reach 1)

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

62,098,730 31,049,365 93,148,096 46,574,048 23,287,024 11,643,512 5,821,756 2,910,878 1,455,439 4,366,318 2,183,159 6,549,478 3,274,739 9,824,218 4,912,109 14,736,328 7,368,164 3,684,082 1,842,041 5,526,124 2,763,062 1,381,531 4,144,594 2,072,297 6,216,892 3,108,446 1,554,223 4,662,670 2,331,335 6,994,006 3,497,003 10,491,010 5,245,505 15,736,516 7,868,258 3,934,129 11,802,388 5,901,194 2,950,597 8,851,792 4,425,896 2,212,948 1,106,474 553,237 1,659,712 829,856 414,928 207,464 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942

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