λ
Harmonic Matrix

5,865,625

55 × 1877
Deficient Odd Composite

5,865,625 has digital root 1. The neighboring primes are 5865611 and 5865641; its proper-divisor sum differs from the starting integer by -4,395,782.

Prime Factor Structure

Factorization String 5^5 × 1877
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,335,468
Proper Divisor Sum 1,469,843
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5865611 ← → #5865641

Radix Representation

Decimal 5865625
Binary 10110011000000010011001 (23 bits)
Octal 0o26300231
Hexadecimal 0x598099

Divisor Catalog (12)

1 5 25 125 625 1,877 3,125 9,385 46,925 234,625 1,173,125 5,865,625

Collatz Trajectory (183 steps to reach 1)

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

5,865,625 17,596,876 8,798,438 4,399,219 13,197,658 6,598,829 19,796,488 9,898,244 4,949,122 2,474,561 7,423,684 3,711,842 1,855,921 5,567,764 2,783,882 1,391,941 4,175,824 2,087,912 1,043,956 521,978 260,989 782,968 391,484 195,742 97,871 293,614 146,807 440,422 220,211 660,634 330,317 990,952 495,476 247,738 123,869 371,608 185,804 92,902 46,451 139,354 69,677 209,032 104,516 52,258 26,129 78,388 39,194 19,597 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034

More profiles

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