λ
Harmonic Matrix

3,131,399

53 × 59083
Deficient Odd Composite

3,131,399 has digital root 2. The neighboring primes are 3131377 and 3131419; its proper-divisor sum differs from the starting integer by -3,072,262.

Prime Factor Structure

Factorization String 53 × 59083
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,190,536
Proper Divisor Sum 59,137
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3131377 ← → #3131419

Radix Representation

Decimal 3131399
Binary 1011111100100000000111 (22 bits)
Octal 0o13744007
Hexadecimal 0x2FC807

Divisor Catalog (4)

1 53 59,083 3,131,399

Collatz Trajectory (301 steps to reach 1)

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

3,131,399 9,394,198 4,697,099 14,091,298 7,045,649 21,136,948 10,568,474 5,284,237 15,852,712 7,926,356 3,963,178 1,981,589 5,944,768 2,972,384 1,486,192 743,096 371,548 185,774 92,887 278,662 139,331 417,994 208,997 626,992 313,496 156,748 78,374 39,187 117,562 58,781 176,344 88,172 44,086 22,043 66,130 33,065 99,196 49,598 24,799 74,398 37,199 111,598 55,799 167,398 83,699 251,098 125,549 376,648 188,324 94,162 47,081 141,244 70,622 35,311 105,934 52,967 158,902 79,451 238,354 119,177

More profiles

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