λ
Harmonic Matrix

1,613,938

2 × 61 × 13229
Deficient Even Composite

1,613,938 has digital root 4. The neighboring primes are 1613921 and 1613947; its proper-divisor sum differs from the starting integer by -767,096.

Prime Factor Structure

Factorization String 2 × 61 × 13229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,460,780
Proper Divisor Sum 846,842
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1613921 ← → #1613947

Radix Representation

Decimal 1613938
Binary 110001010000001110010 (21 bits)
Octal 0o6120162
Hexadecimal 0x18A072

Divisor Catalog (8)

1 2 61 122 13,229 26,458 806,969 1,613,938

Collatz Trajectory (114 steps to reach 1)

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

1,613,938 806,969 2,420,908 1,210,454 605,227 1,815,682 907,841 2,723,524 1,361,762 680,881 2,042,644 1,021,322 510,661 1,531,984 765,992 382,996 191,498 95,749 287,248 143,624 71,812 35,906 17,953 53,860 26,930 13,465 40,396 20,198 10,099 30,298 15,149 45,448 22,724 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709

More profiles

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