λ
Harmonic Matrix

353,231

373 × 947
Deficient Odd Composite

353,231 has digital root 8. The neighboring primes are 353203 and 353237; its proper-divisor sum differs from the starting integer by -351,910.

Prime Factor Structure

Factorization String 373 × 947
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 354,552
Proper Divisor Sum 1,321
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #353203 ← → #353237

Radix Representation

Decimal 353231
Binary 1010110001111001111 (19 bits)
Octal 0o1261717
Hexadecimal 0x563CF

Divisor Catalog (4)

1 373 947 353,231

Collatz Trajectory (104 steps to reach 1)

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

353,231 1,059,694 529,847 1,589,542 794,771 2,384,314 1,192,157 3,576,472 1,788,236 894,118 447,059 1,341,178 670,589 2,011,768 1,005,884 502,942 251,471 754,414 377,207 1,131,622 565,811 1,697,434 848,717 2,546,152 1,273,076 636,538 318,269 954,808 477,404 238,702 119,351 358,054 179,027 537,082 268,541 805,624 402,812 201,406 100,703 302,110 151,055 453,166 226,583 679,750 339,875 1,019,626 509,813 1,529,440 764,720 382,360 191,180 95,590 47,795 143,386 71,693 215,080 107,540 53,770 26,885 80,656

More profiles

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