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Atlas › Integer Profiles › Node 47,921,951

47,921,951

72 × 11 × 67 × 1327
Deficient Odd Composite

Prime Factor Structure

Factorization String 7^2 × 11 × 67 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 61,767,936
Proper Divisor Sum 13,845,985
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #47921941 ← → #47921969

Radix Representation

Decimal 47921951
Binary 10110110110011101100011111 (26 bits)
Octal 0o266635437
Hexadecimal 0x2DB3B1F

Divisor Catalog (24)

1 7 11 49 67 77 469 539 737 1,327 3,283 5,159 9,289 14,597 36,113 65,023 88,909 102,179 622,363 715,253 977,999 4,356,541 6,845,993 47,921,951

Collatz Trajectory (168 steps to reach 1)

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

47,921,951 143,765,854 71,882,927 215,648,782 107,824,391 323,473,174 161,736,587 485,209,762 242,604,881 727,814,644 363,907,322 181,953,661 545,860,984 272,930,492 136,465,246 68,232,623 204,697,870 102,348,935 307,046,806 153,523,403 460,570,210 230,285,105 690,855,316 345,427,658 172,713,829 518,141,488 259,070,744 129,535,372 64,767,686 32,383,843 97,151,530 48,575,765 145,727,296 72,863,648 36,431,824 18,215,912 9,107,956 4,553,978 2,276,989 6,830,968 3,415,484 1,707,742 853,871 2,561,614 1,280,807 3,842,422 1,921,211 5,763,634 2,881,817 8,645,452 4,322,726 2,161,363 6,484,090 3,242,045 9,726,136 4,863,068 2,431,534 1,215,767 3,647,302 1,823,651

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