λ
Harmonic Matrix

2,526,859

131 × 19289
Deficient Odd Composite

2,526,859 has digital root 1. The neighboring primes are 2526851 and 2526869; its proper-divisor sum differs from the starting integer by -2,507,438.

Prime Factor Structure

Factorization String 131 × 19289
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,546,280
Proper Divisor Sum 19,421
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2526851 ← → #2526869

Radix Representation

Decimal 2526859
Binary 1001101000111010001011 (22 bits)
Octal 0o11507213
Hexadecimal 0x268E8B

Divisor Catalog (4)

1 131 19,289 2,526,859

Collatz Trajectory (81 steps to reach 1)

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

2,526,859 7,580,578 3,790,289 11,370,868 5,685,434 2,842,717 8,528,152 4,264,076 2,132,038 1,066,019 3,198,058 1,599,029 4,797,088 2,398,544 1,199,272 599,636 299,818 149,909 449,728 224,864 112,432 56,216 28,108 14,054 7,027 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76

More profiles

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