λ
Harmonic Matrix

5,710,726

2 × 7 × 41 × 9949
Deficient Even Composite

5,710,726 has digital root 1. The neighboring primes are 5710721 and 5710729; its proper-divisor sum differs from the starting integer by -1,391,852.

Prime Factor Structure

Factorization String 2 × 7 × 41 × 9949
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,029,600
Proper Divisor Sum 4,318,874
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5710721 ← → #5710729

Radix Representation

Decimal 5710726
Binary 10101110010001110000110 (23 bits)
Octal 0o25621606
Hexadecimal 0x572386

Divisor Catalog (16)

1 2 7 14 41 82 287 574 9,949 19,898 69,643 139,286 407,909 815,818 2,855,363 5,710,726

Collatz Trajectory (214 steps to reach 1)

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

5,710,726 2,855,363 8,566,090 4,283,045 12,849,136 6,424,568 3,212,284 1,606,142 803,071 2,409,214 1,204,607 3,613,822 1,806,911 5,420,734 2,710,367 8,131,102 4,065,551 12,196,654 6,098,327 18,294,982 9,147,491 27,442,474 13,721,237 41,163,712 20,581,856 10,290,928 5,145,464 2,572,732 1,286,366 643,183 1,929,550 964,775 2,894,326 1,447,163 4,341,490 2,170,745 6,512,236 3,256,118 1,628,059 4,884,178 2,442,089 7,326,268 3,663,134 1,831,567 5,494,702 2,747,351 8,242,054 4,121,027 12,363,082 6,181,541 18,544,624 9,272,312 4,636,156 2,318,078 1,159,039 3,477,118 1,738,559 5,215,678 2,607,839 7,823,518

More profiles

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