λ
Harmonic Matrix

4,524,646

2 × 7 × 79 × 4091
Deficient Even Composite

4,524,646 has digital root 4. The neighboring primes are 4524631 and 4524647; its proper-divisor sum differs from the starting integer by -1,192,652.

Prime Factor Structure

Factorization String 2 × 7 × 79 × 4091
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,856,640
Proper Divisor Sum 3,331,994
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4524631 ← → #4524647

Radix Representation

Decimal 4524646
Binary 10001010000101001100110 (23 bits)
Octal 0o21205146
Hexadecimal 0x450A66

Divisor Catalog (16)

1 2 7 14 79 158 553 1,106 4,091 8,182 28,637 57,274 323,189 646,378 2,262,323 4,524,646

Collatz Trajectory (136 steps to reach 1)

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

4,524,646 2,262,323 6,786,970 3,393,485 10,180,456 5,090,228 2,545,114 1,272,557 3,817,672 1,908,836 954,418 477,209 1,431,628 715,814 357,907 1,073,722 536,861 1,610,584 805,292 402,646 201,323 603,970 301,985 905,956 452,978 226,489 679,468 339,734 169,867 509,602 254,801 764,404 382,202 191,101 573,304 286,652 143,326 71,663 214,990 107,495 322,486 161,243 483,730 241,865 725,596 362,798 181,399 544,198 272,099 816,298 408,149 1,224,448 612,224 306,112 153,056 76,528 38,264 19,132 9,566 4,783

More profiles

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