λ
Integer Codex

3,671,532

22 × 32 × 101987
Abundant Even Composite

For 3,671,532, the 18 positive divisors have a total of 9,280,908. Removing 3,671,532 leaves 5,609,376, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 101987
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 9,280,908
Proper Divisor Sum 5,609,376
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3671531 ← → #3671543

Radix Representation

Decimal 3671532
Binary 1110000000010111101100 (22 bits)
Octal 0o16002754
Hexadecimal 0x3805EC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 101,987 203,974 305,961 407,948 611,922 917,883 1,223,844 1,835,766 3,671,532

Collatz Trajectory (97 steps to reach 1)

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

3,671,532 1,835,766 917,883 2,753,650 1,376,825 4,130,476 2,065,238 1,032,619 3,097,858 1,548,929 4,646,788 2,323,394 1,161,697 3,485,092 1,742,546 871,273 2,613,820 1,306,910 653,455 1,960,366 980,183 2,940,550 1,470,275 4,410,826 2,205,413 6,616,240 3,308,120 1,654,060 827,030 413,515 1,240,546 620,273 1,860,820 930,410 465,205 1,395,616 697,808 348,904 174,452 87,226 43,613 130,840 65,420 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886

More profiles

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