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Atlas › Integer Profiles › Node 52,277,490

52,277,490

2 × 32 × 5 × 732 × 109
Abundant Even Composite

52,277,490 factors as 2 × 3^2 × 5 × 73^2 × 109. Its 72 positive divisors give a proper-divisor sum of 86,795,730, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 73^2 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 139,073,220
Proper Divisor Sum 86,795,730
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #52277461 ← → #52277497

Radix Representation

Decimal 52277490
Binary 11000111011011000011110010 (26 bits)
Octal 0o307330362
Hexadecimal 0x31DB0F2

Divisor Catalog (60 of 72)

1 2 3 5 6 9 10 15 18 30 45 73 90 109 146 218 219 327 365 438 545 654 657 730 981 1,090 1,095 1,314 1,635 1,962 2,190 3,270 3,285 4,905 5,329 6,570 7,957 9,810 10,658 15,914 15,987 23,871 26,645 31,974 39,785 47,742 47,961 53,290 71,613 79,570 79,935 95,922 119,355 143,226 159,870 238,710 239,805 358,065 479,610 580,861

Collatz Trajectory (124 steps to reach 1)

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

52,277,490 26,138,745 78,416,236 39,208,118 19,604,059 58,812,178 29,406,089 88,218,268 44,109,134 22,054,567 66,163,702 33,081,851 99,245,554 49,622,777 148,868,332 74,434,166 37,217,083 111,651,250 55,825,625 167,476,876 83,738,438 41,869,219 125,607,658 62,803,829 188,411,488 94,205,744 47,102,872 23,551,436 11,775,718 5,887,859 17,663,578 8,831,789 26,495,368 13,247,684 6,623,842 3,311,921 9,935,764 4,967,882 2,483,941 7,451,824 3,725,912 1,862,956 931,478 465,739 1,397,218 698,609 2,095,828 1,047,914 523,957 1,571,872 785,936 392,968 196,484 98,242 49,121 147,364 73,682 36,841 110,524 55,262

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