λ
Harmonic Matrix

957,369

3 × 7 × 45589
Deficient Odd Composite

957,369 has digital root 3. The neighboring primes are 957361 and 957403; its proper-divisor sum differs from the starting integer by -455,858.

Prime Factor Structure

Factorization String 3 × 7 × 45589
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,458,880
Proper Divisor Sum 501,511
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #957361 ← → #957403

Radix Representation

Decimal 957369
Binary 11101001101110111001 (20 bits)
Octal 0o3515671
Hexadecimal 0xE9BB9

Divisor Catalog (8)

1 3 7 21 45,589 136,767 319,123 957,369

Collatz Trajectory (77 steps to reach 1)

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

957,369 2,872,108 1,436,054 718,027 2,154,082 1,077,041 3,231,124 1,615,562 807,781 2,423,344 1,211,672 605,836 302,918 151,459 454,378 227,189 681,568 340,784 170,392 85,196 42,598 21,299 63,898 31,949 95,848 47,924 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29

More profiles

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