λ
Prime Ledger

3,665,997

32 × 37 × 101 × 109
Deficient Odd Composite

3,665,997 has the prime decomposition 3^2 × 37 × 101 × 109. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 37 × 101 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,542,680
Proper Divisor Sum 1,876,683
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3665989 ← → #3666001

Radix Representation

Decimal 3665997
Binary 1101111111000001001101 (22 bits)
Octal 0o15770115
Hexadecimal 0x37F04D

Divisor Catalog (24)

1 3 9 37 101 109 111 303 327 333 909 981 3,737 4,033 11,009 11,211 12,099 33,027 33,633 36,297 99,081 407,333 1,221,999 3,665,997

Collatz Trajectory (58 steps to reach 1)

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

3,665,997 10,997,992 5,498,996 2,749,498 1,374,749 4,124,248 2,062,124 1,031,062 515,531 1,546,594 773,297 2,319,892 1,159,946 579,973 1,739,920 869,960 434,980 217,490 108,745 326,236 163,118 81,559 244,678 122,339 367,018 183,509 550,528 275,264 137,632 68,816 34,408 17,204 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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