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Atlas › Integer Profiles › Node 40,157,784

40,157,784

23 × 32 × 557747
Abundant Even Composite

40,157,784 factors as 2^3 × 3^2 × 557747. Its 24 positive divisors give a proper-divisor sum of 68,603,076, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 557747
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 108,760,860
Proper Divisor Sum 68,603,076
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #40157759 ← → #40157861

Radix Representation

Decimal 40157784
Binary 10011001001100001001011000 (26 bits)
Octal 0o231141130
Hexadecimal 0x264C258

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 557,747 1,115,494 1,673,241 2,230,988 3,346,482 4,461,976 5,019,723 6,692,964 10,039,446 13,385,928 20,078,892 40,157,784

Collatz Trajectory (178 steps to reach 1)

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

40,157,784 20,078,892 10,039,446 5,019,723 15,059,170 7,529,585 22,588,756 11,294,378 5,647,189 16,941,568 8,470,784 4,235,392 2,117,696 1,058,848 529,424 264,712 132,356 66,178 33,089 99,268 49,634 24,817 74,452 37,226 18,613 55,840 27,920 13,960 6,980 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108

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