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Atlas › Integer Profiles › Node 7,907,620

7,907,620

22 × 5 × 72 × 8069
Abundant Even Composite

7,907,620 factors as 2^2 × 5 × 7^2 × 8069. Its 36 positive divisors give a proper-divisor sum of 11,411,960, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 8069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,319,580
Proper Divisor Sum 11,411,960
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7907597 ← → #7907639

Radix Representation

Decimal 7907620
Binary 11110001010100100100100 (23 bits)
Octal 0o36124444
Hexadecimal 0x78A924

Divisor Catalog (36)

1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 8,069 16,138 32,276 40,345 56,483 80,690 112,966 161,380 225,932 282,415 395,381 564,830 790,762 1,129,660 1,581,524 1,976,905 3,953,810 7,907,620

Collatz Trajectory (147 steps to reach 1)

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

7,907,620 3,953,810 1,976,905 5,930,716 2,965,358 1,482,679 4,448,038 2,224,019 6,672,058 3,336,029 10,008,088 5,004,044 2,502,022 1,251,011 3,753,034 1,876,517 5,629,552 2,814,776 1,407,388 703,694 351,847 1,055,542 527,771 1,583,314 791,657 2,374,972 1,187,486 593,743 1,781,230 890,615 2,671,846 1,335,923 4,007,770 2,003,885 6,011,656 3,005,828 1,502,914 751,457 2,254,372 1,127,186 563,593 1,690,780 845,390 422,695 1,268,086 634,043 1,902,130 951,065 2,853,196 1,426,598 713,299 2,139,898 1,069,949 3,209,848 1,604,924 802,462 401,231 1,203,694 601,847 1,805,542

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