λ
Harmonic Matrix

356,629

7 × 13 × 3919
Deficient Odd Composite

356,629 has digital root 4. The neighboring primes are 356621 and 356647; its proper-divisor sum differs from the starting integer by -274,218.

Prime Factor Structure

Factorization String 7 × 13 × 3919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 439,040
Proper Divisor Sum 82,411
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #356621 ← → #356647

Radix Representation

Decimal 356629
Binary 1010111000100010101 (19 bits)
Octal 0o1270425
Hexadecimal 0x57115

Divisor Catalog (8)

1 7 13 91 3,919 27,433 50,947 356,629

Collatz Trajectory (73 steps to reach 1)

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

356,629 1,069,888 534,944 267,472 133,736 66,868 33,434 16,717 50,152 25,076 12,538 6,269 18,808 9,404 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11

More profiles

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