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Atlas › Integer Profiles › Node 40,551,896

40,551,896

23 × 7 × 11 × 65831
Abundant Even Composite

40,551,896 factors as 2^3 × 7 × 11 × 65831. Its 32 positive divisors give a proper-divisor sum of 54,246,184, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 65831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 94,798,080
Proper Divisor Sum 54,246,184
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #40551893 ← → #40551899

Radix Representation

Decimal 40551896
Binary 10011010101100010111011000 (26 bits)
Octal 0o232542730
Hexadecimal 0x26AC5D8

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 65,831 131,662 263,324 460,817 526,648 724,141 921,634 1,448,282 1,843,268 2,896,564 3,686,536 5,068,987 5,793,128 10,137,974 20,275,948 40,551,896

Collatz Trajectory (160 steps to reach 1)

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

40,551,896 20,275,948 10,137,974 5,068,987 15,206,962 7,603,481 22,810,444 11,405,222 5,702,611 17,107,834 8,553,917 25,661,752 12,830,876 6,415,438 3,207,719 9,623,158 4,811,579 14,434,738 7,217,369 21,652,108 10,826,054 5,413,027 16,239,082 8,119,541 24,358,624 12,179,312 6,089,656 3,044,828 1,522,414 761,207 2,283,622 1,141,811 3,425,434 1,712,717 5,138,152 2,569,076 1,284,538 642,269 1,926,808 963,404 481,702 240,851 722,554 361,277 1,083,832 541,916 270,958 135,479 406,438 203,219 609,658 304,829 914,488 457,244 228,622 114,311 342,934 171,467 514,402 257,201

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