λ
Harmonic Matrix

4,510,618

2 × 7 × 53 × 6079
Deficient Even Composite

4,510,618 has digital root 7. The neighboring primes are 4510601 and 4510651; its proper-divisor sum differs from the starting integer by -1,141,556.

Prime Factor Structure

Factorization String 2 × 7 × 53 × 6079
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,879,680
Proper Divisor Sum 3,369,062
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4510601 ← → #4510651

Radix Representation

Decimal 4510618
Binary 10001001101001110011010 (23 bits)
Octal 0o21151632
Hexadecimal 0x44D39A

Divisor Catalog (16)

1 2 7 14 53 106 371 742 6,079 12,158 42,553 85,106 322,187 644,374 2,255,309 4,510,618

Collatz Trajectory (110 steps to reach 1)

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

4,510,618 2,255,309 6,765,928 3,382,964 1,691,482 845,741 2,537,224 1,268,612 634,306 317,153 951,460 475,730 237,865 713,596 356,798 178,399 535,198 267,599 802,798 401,399 1,204,198 602,099 1,806,298 903,149 2,709,448 1,354,724 677,362 338,681 1,016,044 508,022 254,011 762,034 381,017 1,143,052 571,526 285,763 857,290 428,645 1,285,936 642,968 321,484 160,742 80,371 241,114 120,557 361,672 180,836 90,418 45,209 135,628 67,814 33,907 101,722 50,861 152,584 76,292 38,146 19,073 57,220 28,610

More profiles

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