λ
Harmonic Matrix

3,711,245

5 × 101 × 7349
Deficient Odd Composite

3,711,245 has digital root 5. The neighboring primes are 3711233 and 3711263; its proper-divisor sum differs from the starting integer by -2,924,290.

Prime Factor Structure

Factorization String 5 × 101 × 7349
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,498,200
Proper Divisor Sum 786,955
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3711233 ← → #3711263

Radix Representation

Decimal 3711245
Binary 1110001010000100001101 (22 bits)
Octal 0o16120415
Hexadecimal 0x38A10D

Divisor Catalog (8)

1 5 101 505 7,349 36,745 742,249 3,711,245

Collatz Trajectory (309 steps to reach 1)

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

3,711,245 11,133,736 5,566,868 2,783,434 1,391,717 4,175,152 2,087,576 1,043,788 521,894 260,947 782,842 391,421 1,174,264 587,132 293,566 146,783 440,350 220,175 660,526 330,263 990,790 495,395 1,486,186 743,093 2,229,280 1,114,640 557,320 278,660 139,330 69,665 208,996 104,498 52,249 156,748 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

More profiles

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