λ
Harmonic Matrix

4,318,025

52 × 172721
Deficient Odd Composite

4,318,025 has digital root 5. The neighboring primes are 4317991 and 4318049; its proper-divisor sum differs from the starting integer by -3,281,668.

Prime Factor Structure

Factorization String 5^2 × 172721
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,354,382
Proper Divisor Sum 1,036,357
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4317991 ← → #4318049

Radix Representation

Decimal 4318025
Binary 10000011110001101001001 (23 bits)
Octal 0o20361511
Hexadecimal 0x41E349

Divisor Catalog (6)

1 5 25 172,721 863,605 4,318,025

Collatz Trajectory (66 steps to reach 1)

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

4,318,025 12,954,076 6,477,038 3,238,519 9,715,558 4,857,779 14,573,338 7,286,669 21,860,008 10,930,004 5,465,002 2,732,501 8,197,504 4,098,752 2,049,376 1,024,688 512,344 256,172 128,086 64,043 192,130 96,065 288,196 144,098 72,049 216,148 108,074 54,037 162,112 81,056 40,528 20,264 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128

More profiles

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