λ
Harmonic Matrix

2,609,875

53 × 20879
Deficient Odd Composite

2,609,875 has digital root 1. The neighboring primes are 2609813 and 2609899; its proper-divisor sum differs from the starting integer by -1,962,470.

Prime Factor Structure

Factorization String 5^3 × 20879
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,257,280
Proper Divisor Sum 647,405
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2609813 ← → #2609899

Radix Representation

Decimal 2609875
Binary 1001111101001011010011 (22 bits)
Octal 0o11751323
Hexadecimal 0x27D2D3

Divisor Catalog (8)

1 5 25 125 20,879 104,395 521,975 2,609,875

Collatz Trajectory (94 steps to reach 1)

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

2,609,875 7,829,626 3,914,813 11,744,440 5,872,220 2,936,110 1,468,055 4,404,166 2,202,083 6,606,250 3,303,125 9,909,376 4,954,688 2,477,344 1,238,672 619,336 309,668 154,834 77,417 232,252 116,126 58,063 174,190 87,095 261,286 130,643 391,930 195,965 587,896 293,948 146,974 73,487 220,462 110,231 330,694 165,347 496,042 248,021 744,064 372,032 186,016 93,008 46,504 23,252 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461

More profiles

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