λ
Harmonic Matrix

8,880,725

52 × 7 × 31 × 1637
Deficient Odd Composite

8,880,725 has digital root 2. The neighboring primes are 8880719 and 8880743; its proper-divisor sum differs from the starting integer by -4,762,282.

Prime Factor Structure

Factorization String 5^2 × 7 × 31 × 1637
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,999,168
Proper Divisor Sum 4,118,443
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8880719 ← → #8880743

Radix Representation

Decimal 8880725
Binary 100001111000001001010101 (24 bits)
Octal 0o41701125
Hexadecimal 0x878255

Divisor Catalog (24)

1 5 7 25 31 35 155 175 217 775 1,085 1,637 5,425 8,185 11,459 40,925 50,747 57,295 253,735 286,475 355,229 1,268,675 1,776,145 8,880,725

Collatz Trajectory (168 steps to reach 1)

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

8,880,725 26,642,176 13,321,088 6,660,544 3,330,272 1,665,136 832,568 416,284 208,142 104,071 312,214 156,107 468,322 234,161 702,484 351,242 175,621 526,864 263,432 131,716 65,858 32,929 98,788 49,394 24,697 74,092 37,046 18,523 55,570 27,785 83,356 41,678 20,839 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389

More profiles

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