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Atlas › Integer Profiles › Node 49,903,210

49,903,210

2 × 5 × 7 × 53 × 13451
Abundant Even Composite

49,903,210 factors as 2 × 5 × 7 × 53 × 13451. Its 32 positive divisors give a proper-divisor sum of 54,699,542, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 53 × 13451
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 104,602,752
Proper Divisor Sum 54,699,542
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #49903201 ← → #49903213

Radix Representation

Decimal 49903210
Binary 10111110010111011001101010 (26 bits)
Octal 0o276273152
Hexadecimal 0x2F9766A

Divisor Catalog (32)

1 2 5 7 10 14 35 53 70 106 265 371 530 742 1,855 3,710 13,451 26,902 67,255 94,157 134,510 188,314 470,785 712,903 941,570 1,425,806 3,564,515 4,990,321 7,129,030 9,980,642 24,951,605 49,903,210

Collatz Trajectory (160 steps to reach 1)

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

49,903,210 24,951,605 74,854,816 37,427,408 18,713,704 9,356,852 4,678,426 2,339,213 7,017,640 3,508,820 1,754,410 877,205 2,631,616 1,315,808 657,904 328,952 164,476 82,238 41,119 123,358 61,679 185,038 92,519 277,558 138,779 416,338 208,169 624,508 312,254 156,127 468,382 234,191 702,574 351,287 1,053,862 526,931 1,580,794 790,397 2,371,192 1,185,596 592,798 296,399 889,198 444,599 1,333,798 666,899 2,000,698 1,000,349 3,001,048 1,500,524 750,262 375,131 1,125,394 562,697 1,688,092 844,046 422,023 1,266,070 633,035 1,899,106

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