λ
Harmonic Matrix

3,236,617

31 × 131 × 797
Deficient Odd Composite

3,236,617 has digital root 1. The neighboring primes are 3236591 and 3236621; its proper-divisor sum differs from the starting integer by -3,102,482.

Prime Factor Structure

Factorization String 31 × 131 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,370,752
Proper Divisor Sum 134,135
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3236591 ← → #3236621

Radix Representation

Decimal 3236617
Binary 1100010110001100001001 (22 bits)
Octal 0o14261411
Hexadecimal 0x316309

Divisor Catalog (8)

1 31 131 797 4,061 24,707 104,407 3,236,617

Collatz Trajectory (239 steps to reach 1)

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

3,236,617 9,709,852 4,854,926 2,427,463 7,282,390 3,641,195 10,923,586 5,461,793 16,385,380 8,192,690 4,096,345 12,289,036 6,144,518 3,072,259 9,216,778 4,608,389 13,825,168 6,912,584 3,456,292 1,728,146 864,073 2,592,220 1,296,110 648,055 1,944,166 972,083 2,916,250 1,458,125 4,374,376 2,187,188 1,093,594 546,797 1,640,392 820,196 410,098 205,049 615,148 307,574 153,787 461,362 230,681 692,044 346,022 173,011 519,034 259,517 778,552 389,276 194,638 97,319 291,958 145,979 437,938 218,969 656,908 328,454 164,227 492,682 246,341 739,024

More profiles

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