λ
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Atlas › Integer Profiles › Node 40,003,904

40,003,904

26 × 313 × 1997
Deficient Even Composite

40,003,904 factors as 2^6 × 313 × 1997. Its 28 positive divisors give a proper-divisor sum of 39,672,340, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^6 × 313 × 1997
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 79,676,244
Proper Divisor Sum 39,672,340
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #40003883 ← → #40003913

Radix Representation

Decimal 40003904
Binary 10011000100110100101000000 (26 bits)
Octal 0o230464500
Hexadecimal 0x2626940

Divisor Catalog (28)

1 2 4 8 16 32 64 313 626 1,252 1,997 2,504 3,994 5,008 7,988 10,016 15,976 20,032 31,952 63,904 127,808 625,061 1,250,122 2,500,244 5,000,488 10,000,976 20,001,952 40,003,904

Collatz Trajectory (134 steps to reach 1)

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

40,003,904 20,001,952 10,000,976 5,000,488 2,500,244 1,250,122 625,061 1,875,184 937,592 468,796 234,398 117,199 351,598 175,799 527,398 263,699 791,098 395,549 1,186,648 593,324 296,662 148,331 444,994 222,497 667,492 333,746 166,873 500,620 250,310 125,155 375,466 187,733 563,200 281,600 140,800 70,400 35,200 17,600 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186

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