λ
Harmonic Matrix

364,726

2 × 43 × 4241
Deficient Even Composite

364,726 has digital root 1. The neighboring primes are 364717 and 364739; its proper-divisor sum differs from the starting integer by -169,508.

Prime Factor Structure

Factorization String 2 × 43 × 4241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 559,944
Proper Divisor Sum 195,218
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #364717 ← → #364739

Radix Representation

Decimal 364726
Binary 1011001000010110110 (19 bits)
Octal 0o1310266
Hexadecimal 0x590B6

Divisor Catalog (8)

1 2 43 86 4,241 8,482 182,363 364,726

Collatz Trajectory (179 steps to reach 1)

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

364,726 182,363 547,090 273,545 820,636 410,318 205,159 615,478 307,739 923,218 461,609 1,384,828 692,414 346,207 1,038,622 519,311 1,557,934 778,967 2,336,902 1,168,451 3,505,354 1,752,677 5,258,032 2,629,016 1,314,508 657,254 328,627 985,882 492,941 1,478,824 739,412 369,706 184,853 554,560 277,280 138,640 69,320 34,660 17,330 8,665 25,996 12,998 6,499 19,498 9,749 29,248 14,624 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320

More profiles

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