λ
Harmonic Matrix

2,313,770

2 × 5 × 401 × 577
Deficient Even Composite

2,313,770 has digital root 5. The neighboring primes are 2313769 and 2313797; its proper-divisor sum differs from the starting integer by -445,132.

Prime Factor Structure

Factorization String 2 × 5 × 401 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,182,408
Proper Divisor Sum 1,868,638
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2313769 ← → #2313797

Radix Representation

Decimal 2313770
Binary 1000110100111000101010 (22 bits)
Octal 0o10647052
Hexadecimal 0x234E2A

Divisor Catalog (16)

1 2 5 10 401 577 802 1,154 2,005 2,885 4,010 5,770 231,377 462,754 1,156,885 2,313,770

Collatz Trajectory (47 steps to reach 1)

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

2,313,770 1,156,885 3,470,656 1,735,328 867,664 433,832 216,916 108,458 54,229 162,688 81,344 40,672 20,336 10,168 5,084 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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