7,137,944

2³ × 11 × 29 × 2797

7,137,944 factors as 2^3 × 11 × 29 × 2797. Its 32 positive divisors give a proper-divisor sum of 7,971,256, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 29 × 2797

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,109,200

Proper Divisor Sum 7,971,256

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7137913 ← → #7137947

Radix Representation

Decimal	7137944
Binary	11011001110101010011000 (23 bits)
Octal	0o33165230
Hexadecimal	0x6CEA98

Divisor Catalog (32)

1 2 4 8 11 22 29 44 58 88 116 232 319 638 1,276 2,552 2,797 5,594 11,188 22,376 30,767 61,534 81,113 123,068 162,226 246,136 324,452 648,904 892,243 1,784,486 3,568,972 7,137,944

Collatz Trajectory (266 steps to reach 1)

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

7,137,944 3,568,972 1,784,486 892,243 2,676,730 1,338,365 4,015,096 2,007,548 1,003,774 501,887 1,505,662 752,831 2,258,494 1,129,247 3,387,742 1,693,871 5,081,614 2,540,807 7,622,422 3,811,211 11,433,634 5,716,817 17,150,452 8,575,226 4,287,613 12,862,840 6,431,420 3,215,710 1,607,855 4,823,566 2,411,783 7,235,350 3,617,675 10,853,026 5,426,513 16,279,540 8,139,770 4,069,885 12,209,656 6,104,828 3,052,414 1,526,207 4,578,622 2,289,311 6,867,934 3,433,967 10,301,902 5,150,951 15,452,854 7,726,427 23,179,282 11,589,641 34,768,924 17,384,462 8,692,231 26,076,694 13,038,347 39,115,042 19,557,521 58,672,564

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