λ
Harmonic Matrix

3,637,769

139 × 26171
Deficient Odd Composite

3,637,769 has digital root 5. The neighboring primes are 3637723 and 3637771; its proper-divisor sum differs from the starting integer by -3,611,458.

Prime Factor Structure

Factorization String 139 × 26171
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,664,080
Proper Divisor Sum 26,311
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3637723 ← → #3637771

Radix Representation

Decimal 3637769
Binary 1101111000001000001001 (22 bits)
Octal 0o15701011
Hexadecimal 0x378209

Divisor Catalog (4)

1 139 26,171 3,637,769

Collatz Trajectory (203 steps to reach 1)

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

3,637,769 10,913,308 5,456,654 2,728,327 8,184,982 4,092,491 12,277,474 6,138,737 18,416,212 9,208,106 4,604,053 13,812,160 6,906,080 3,453,040 1,726,520 863,260 431,630 215,815 647,446 323,723 971,170 485,585 1,456,756 728,378 364,189 1,092,568 546,284 273,142 136,571 409,714 204,857 614,572 307,286 153,643 460,930 230,465 691,396 345,698 172,849 518,548 259,274 129,637 388,912 194,456 97,228 48,614 24,307 72,922 36,461 109,384 54,692 27,346 13,673 41,020 20,510 10,255 30,766 15,383 46,150 23,075

More profiles

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