λ
Harmonic Matrix

5,642,014

2 × 7 × 403001
Deficient Even Composite

5,642,014 has digital root 4. The neighboring primes are 5641997 and 5642017; its proper-divisor sum differs from the starting integer by -1,611,980.

Prime Factor Structure

Factorization String 2 × 7 × 403001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,672,048
Proper Divisor Sum 4,030,034
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5641997 ← → #5642017

Radix Representation

Decimal 5642014
Binary 10101100001011100011110 (23 bits)
Octal 0o25413436
Hexadecimal 0x56171E

Divisor Catalog (8)

1 2 7 14 403,001 806,002 2,821,007 5,642,014

Collatz Trajectory (108 steps to reach 1)

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

5,642,014 2,821,007 8,463,022 4,231,511 12,694,534 6,347,267 19,041,802 9,520,901 28,562,704 14,281,352 7,140,676 3,570,338 1,785,169 5,355,508 2,677,754 1,338,877 4,016,632 2,008,316 1,004,158 502,079 1,506,238 753,119 2,259,358 1,129,679 3,389,038 1,694,519 5,083,558 2,541,779 7,625,338 3,812,669 11,438,008 5,719,004 2,859,502 1,429,751 4,289,254 2,144,627 6,433,882 3,216,941 9,650,824 4,825,412 2,412,706 1,206,353 3,619,060 1,809,530 904,765 2,714,296 1,357,148 678,574 339,287 1,017,862 508,931 1,526,794 763,397 2,290,192 1,145,096 572,548 286,274 143,137 429,412 214,706

More profiles

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