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Atlas › Integer Profiles › Node 4,037,592

4,037,592

23 × 3 × 13 × 12941
Abundant Even Composite

4,037,592 factors as 2^3 × 3 × 13 × 12941. Its 32 positive divisors give a proper-divisor sum of 6,833,688, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 12941
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,871,280
Proper Divisor Sum 6,833,688
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4037591 ← → #4037599

Radix Representation

Decimal 4037592
Binary 1111011001101111011000 (22 bits)
Octal 0o17315730
Hexadecimal 0x3D9BD8

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 12,941 25,882 38,823 51,764 77,646 103,528 155,292 168,233 310,584 336,466 504,699 672,932 1,009,398 1,345,864 2,018,796 4,037,592

Collatz Trajectory (123 steps to reach 1)

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

4,037,592 2,018,796 1,009,398 504,699 1,514,098 757,049 2,271,148 1,135,574 567,787 1,703,362 851,681 2,555,044 1,277,522 638,761 1,916,284 958,142 479,071 1,437,214 718,607 2,155,822 1,077,911 3,233,734 1,616,867 4,850,602 2,425,301 7,275,904 3,637,952 1,818,976 909,488 454,744 227,372 113,686 56,843 170,530 85,265 255,796 127,898 63,949 191,848 95,924 47,962 23,981 71,944 35,972 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270

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