λ
Harmonic Matrix

835,467

3 × 278489
Deficient Odd Composite

835,467 has digital root 6. The neighboring primes are 835459 and 835469; its proper-divisor sum differs from the starting integer by -556,974.

Prime Factor Structure

Factorization String 3 × 278489
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,113,960
Proper Divisor Sum 278,493
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #835459 ← → #835469

Radix Representation

Decimal 835467
Binary 11001011111110001011 (20 bits)
Octal 0o3137613
Hexadecimal 0xCBF8B

Divisor Catalog (4)

1 3 278,489 835,467

Collatz Trajectory (113 steps to reach 1)

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

835,467 2,506,402 1,253,201 3,759,604 1,879,802 939,901 2,819,704 1,409,852 704,926 352,463 1,057,390 528,695 1,586,086 793,043 2,379,130 1,189,565 3,568,696 1,784,348 892,174 446,087 1,338,262 669,131 2,007,394 1,003,697 3,011,092 1,505,546 752,773 2,258,320 1,129,160 564,580 282,290 141,145 423,436 211,718 105,859 317,578 158,789 476,368 238,184 119,092 59,546 29,773 89,320 44,660 22,330 11,165 33,496 16,748 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804

More profiles

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