λ
Harmonic Matrix

4,127,923

17 × 242819
Deficient Odd Composite

4,127,923 has digital root 1. The neighboring primes are 4127899 and 4127933; its proper-divisor sum differs from the starting integer by -3,885,086.

Prime Factor Structure

Factorization String 17 × 242819
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,370,760
Proper Divisor Sum 242,837
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4127899 ← → #4127933

Radix Representation

Decimal 4127923
Binary 1111101111110010110011 (22 bits)
Octal 0o17576263
Hexadecimal 0x3EFCB3

Divisor Catalog (4)

1 17 242,819 4,127,923

Collatz Trajectory (92 steps to reach 1)

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

4,127,923 12,383,770 6,191,885 18,575,656 9,287,828 4,643,914 2,321,957 6,965,872 3,482,936 1,741,468 870,734 435,367 1,306,102 653,051 1,959,154 979,577 2,938,732 1,469,366 734,683 2,204,050 1,102,025 3,306,076 1,653,038 826,519 2,479,558 1,239,779 3,719,338 1,859,669 5,579,008 2,789,504 1,394,752 697,376 348,688 174,344 87,172 43,586 21,793 65,380 32,690 16,345 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372

More profiles

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