λ
Harmonic Matrix

2,024,038

2 × 83 × 89 × 137
Deficient Even Composite

2,024,038 has digital root 1. The neighboring primes are 2023993 and 2024063; its proper-divisor sum differs from the starting integer by -918,236.

Prime Factor Structure

Factorization String 2 × 83 × 89 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,129,840
Proper Divisor Sum 1,105,802
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2023993 ← → #2024063

Radix Representation

Decimal 2024038
Binary 111101110001001100110 (21 bits)
Octal 0o7561146
Hexadecimal 0x1EE266

Divisor Catalog (16)

1 2 83 89 137 166 178 274 7,387 11,371 12,193 14,774 22,742 24,386 1,012,019 2,024,038

Collatz Trajectory (109 steps to reach 1)

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

2,024,038 1,012,019 3,036,058 1,518,029 4,554,088 2,277,044 1,138,522 569,261 1,707,784 853,892 426,946 213,473 640,420 320,210 160,105 480,316 240,158 120,079 360,238 180,119 540,358 270,179 810,538 405,269 1,215,808 607,904 303,952 151,976 75,988 37,994 18,997 56,992 28,496 14,248 7,124 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

More profiles

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