λ
Harmonic Matrix

8,631,307

8631307
Deficient Odd Prime

8,631,307 has digital root 1. The neighboring primes are 8631283 and 8631319; its proper-divisor sum differs from the starting integer by -8,631,306.

Prime Factor Structure

Factorization String 8631307
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,631,308
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8631283 ← → #8631319

Radix Representation

Decimal 8631307
Binary 100000111011010000001011 (24 bits)
Octal 0o40732013
Hexadecimal 0x83B40B

Divisor Catalog (2)

1 8,631,307

Collatz Trajectory (199 steps to reach 1)

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

8,631,307 25,893,922 12,946,961 38,840,884 19,420,442 9,710,221 29,130,664 14,565,332 7,282,666 3,641,333 10,924,000 5,462,000 2,731,000 1,365,500 682,750 341,375 1,024,126 512,063 1,536,190 768,095 2,304,286 1,152,143 3,456,430 1,728,215 5,184,646 2,592,323 7,776,970 3,888,485 11,665,456 5,832,728 2,916,364 1,458,182 729,091 2,187,274 1,093,637 3,280,912 1,640,456 820,228 410,114 205,057 615,172 307,586 153,793 461,380 230,690 115,345 346,036 173,018 86,509 259,528 129,764 64,882 32,441 97,324 48,662 24,331 72,994 36,497 109,492 54,746

More profiles

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