λ
Harmonic Matrix

5,861,729

41 × 142969
Deficient Odd Composite

5,861,729 has digital root 2. The neighboring primes are 5861707 and 5861731; its proper-divisor sum differs from the starting integer by -5,718,718.

Prime Factor Structure

Factorization String 41 × 142969
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,004,740
Proper Divisor Sum 143,011
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5861707 ← → #5861731

Radix Representation

Decimal 5861729
Binary 10110010111000101100001 (23 bits)
Octal 0o26270541
Hexadecimal 0x597161

Divisor Catalog (4)

1 41 142,969 5,861,729

Collatz Trajectory (183 steps to reach 1)

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

5,861,729 17,585,188 8,792,594 4,396,297 13,188,892 6,594,446 3,297,223 9,891,670 4,945,835 14,837,506 7,418,753 22,256,260 11,128,130 5,564,065 16,692,196 8,346,098 4,173,049 12,519,148 6,259,574 3,129,787 9,389,362 4,694,681 14,084,044 7,042,022 3,521,011 10,563,034 5,281,517 15,844,552 7,922,276 3,961,138 1,980,569 5,941,708 2,970,854 1,485,427 4,456,282 2,228,141 6,684,424 3,342,212 1,671,106 835,553 2,506,660 1,253,330 626,665 1,879,996 939,998 469,999 1,409,998 704,999 2,114,998 1,057,499 3,172,498 1,586,249 4,758,748 2,379,374 1,189,687 3,569,062 1,784,531 5,353,594 2,676,797 8,030,392

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