λ
Harmonic Matrix

2,873,025

32 × 52 × 1132
Deficient Odd Composite Square (√ = 1695)

2,873,025 has digital root 9. The neighboring primes are 2873023 and 2873029; its proper-divisor sum differs from the starting integer by -554,201.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 113^2
Distinct Prime Factors 3
Square Status Yes (√2873025 = 1695)
Abundance Measure Deficient

Analytical Properties

Total Divisors 27
Divisor Sum (σ) 5,191,849
Proper Divisor Sum 2,318,824
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2873023 ← → #2873029

Radix Representation

Decimal 2873025
Binary 1010111101011011000001 (22 bits)
Octal 0o12753301
Hexadecimal 0x2BD6C1

Divisor Catalog (27)

1 3 5 9 15 25 45 75 113 225 339 565 1,017 1,695 2,825 5,085 8,475 12,769 25,425 38,307 63,845 114,921 191,535 319,225 574,605 957,675 2,873,025

Collatz Trajectory (213 steps to reach 1)

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

2,873,025 8,619,076 4,309,538 2,154,769 6,464,308 3,232,154 1,616,077 4,848,232 2,424,116 1,212,058 606,029 1,818,088 909,044 454,522 227,261 681,784 340,892 170,446 85,223 255,670 127,835 383,506 191,753 575,260 287,630 143,815 431,446 215,723 647,170 323,585 970,756 485,378 242,689 728,068 364,034 182,017 546,052 273,026 136,513 409,540 204,770 102,385 307,156 153,578 76,789 230,368 115,184 57,592 28,796 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348

More profiles

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