λ
Harmonic Matrix

610,041

3 × 43 × 4729
Deficient Odd Composite

610,041 has digital root 3. The neighboring primes are 610031 and 610063; its proper-divisor sum differs from the starting integer by -387,602.

Prime Factor Structure

Factorization String 3 × 43 × 4729
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 832,480
Proper Divisor Sum 222,439
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #610031 ← → #610063

Radix Representation

Decimal 610041
Binary 10010100111011111001 (20 bits)
Octal 0o2247371
Hexadecimal 0x94EF9

Divisor Catalog (8)

1 3 43 129 4,729 14,187 203,347 610,041

Collatz Trajectory (203 steps to reach 1)

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

610,041 1,830,124 915,062 457,531 1,372,594 686,297 2,058,892 1,029,446 514,723 1,544,170 772,085 2,316,256 1,158,128 579,064 289,532 144,766 72,383 217,150 108,575 325,726 162,863 488,590 244,295 732,886 366,443 1,099,330 549,665 1,648,996 824,498 412,249 1,236,748 618,374 309,187 927,562 463,781 1,391,344 695,672 347,836 173,918 86,959 260,878 130,439 391,318 195,659 586,978 293,489 880,468 440,234 220,117 660,352 330,176 165,088 82,544 41,272 20,636 10,318 5,159 15,478 7,739 23,218

More profiles

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