λ
Harmonic Matrix

855,535

5 × 397 × 431
Deficient Odd Composite

855,535 has digital root 4. The neighboring primes are 855527 and 855581; its proper-divisor sum differs from the starting integer by -679,454.

Prime Factor Structure

Factorization String 5 × 397 × 431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,031,616
Proper Divisor Sum 176,081
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #855527 ← → #855581

Radix Representation

Decimal 855535
Binary 11010000110111101111 (20 bits)
Octal 0o3206757
Hexadecimal 0xD0DEF

Divisor Catalog (8)

1 5 397 431 1,985 2,155 171,107 855,535

Collatz Trajectory (374 steps to reach 1)

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

855,535 2,566,606 1,283,303 3,849,910 1,924,955 5,774,866 2,887,433 8,662,300 4,331,150 2,165,575 6,496,726 3,248,363 9,745,090 4,872,545 14,617,636 7,308,818 3,654,409 10,963,228 5,481,614 2,740,807 8,222,422 4,111,211 12,333,634 6,166,817 18,500,452 9,250,226 4,625,113 13,875,340 6,937,670 3,468,835 10,406,506 5,203,253 15,609,760 7,804,880 3,902,440 1,951,220 975,610 487,805 1,463,416 731,708 365,854 182,927 548,782 274,391 823,174 411,587 1,234,762 617,381 1,852,144 926,072 463,036 231,518 115,759 347,278 173,639 520,918 260,459 781,378 390,689 1,172,068

More profiles

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