λ
Harmonic Matrix

6,829,345

5 × 1365869
Deficient Odd Composite

6,829,345 has digital root 1. The neighboring primes are 6829337 and 6829351; its proper-divisor sum differs from the starting integer by -5,463,470.

Prime Factor Structure

Factorization String 5 × 1365869
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,195,220
Proper Divisor Sum 1,365,875
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6829337 ← → #6829351

Radix Representation

Decimal 6829345
Binary 11010000011010100100001 (23 bits)
Octal 0o32032441
Hexadecimal 0x683521

Divisor Catalog (4)

1 5 1,365,869 6,829,345

Collatz Trajectory (103 steps to reach 1)

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

6,829,345 20,488,036 10,244,018 5,122,009 15,366,028 7,683,014 3,841,507 11,524,522 5,762,261 17,286,784 8,643,392 4,321,696 2,160,848 1,080,424 540,212 270,106 135,053 405,160 202,580 101,290 50,645 151,936 75,968 37,984 18,992 9,496 4,748 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

More profiles

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