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Atlas › Integer Profiles › Node 3,919,616

3,919,616

28 × 61 × 251
Abundant Even Composite

3,919,616 factors as 2^8 × 61 × 251. Its 36 positive divisors give a proper-divisor sum of 4,064,248, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^8 × 61 × 251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,983,864
Proper Divisor Sum 4,064,248
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3919613 ← → #3919621

Radix Representation

Decimal 3919616
Binary 1110111100111100000000 (22 bits)
Octal 0o16747400
Hexadecimal 0x3BCF00

Divisor Catalog (36)

1 2 4 8 16 32 61 64 122 128 244 251 256 488 502 976 1,004 1,952 2,008 3,904 4,016 7,808 8,032 15,311 15,616 16,064 30,622 32,128 61,244 64,256 122,488 244,976 489,952 979,904 1,959,808 3,919,616

Collatz Trajectory (92 steps to reach 1)

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

3,919,616 1,959,808 979,904 489,952 244,976 122,488 61,244 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692

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