λ
Prime Ledger

3,637,679

107 × 33997
Deficient Odd Composite

3,637,679 has the prime decomposition 107 × 33997. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 107 × 33997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,671,784
Proper Divisor Sum 34,105
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3637637 ← → #3637681

Radix Representation

Decimal 3637679
Binary 1101111000000110101111 (22 bits)
Octal 0o15700657
Hexadecimal 0x3781AF

Divisor Catalog (4)

1 107 33,997 3,637,679

Collatz Trajectory (203 steps to reach 1)

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

3,637,679 10,913,038 5,456,519 16,369,558 8,184,779 24,554,338 12,277,169 36,831,508 18,415,754 9,207,877 27,623,632 13,811,816 6,905,908 3,452,954 1,726,477 5,179,432 2,589,716 1,294,858 647,429 1,942,288 971,144 485,572 242,786 121,393 364,180 182,090 91,045 273,136 136,568 68,284 34,142 17,071 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847

More profiles

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