λ
Harmonic Matrix

4,436,478

2 × 33 × 29 × 2833
Abundant Even Composite

4,436,478 has digital root 9. The neighboring primes are 4436477 and 4436483; its proper-divisor sum differs from the starting integer by 1,329,444.

Prime Factor Structure

Factorization String 2 × 3^3 × 29 × 2833
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,202,400
Proper Divisor Sum 5,765,922
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4436477 ← → #4436483

Radix Representation

Decimal 4436478
Binary 10000111011000111111110 (23 bits)
Octal 0o20730776
Hexadecimal 0x43B1FE

Divisor Catalog (32)

1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1,566 2,833 5,666 8,499 16,998 25,497 50,994 76,491 82,157 152,982 164,314 246,471 492,942 739,413 1,478,826 2,218,239 4,436,478

Collatz Trajectory (141 steps to reach 1)

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

4,436,478 2,218,239 6,654,718 3,327,359 9,982,078 4,991,039 14,973,118 7,486,559 22,459,678 11,229,839 33,689,518 16,844,759 50,534,278 25,267,139 75,801,418 37,900,709 113,702,128 56,851,064 28,425,532 14,212,766 7,106,383 21,319,150 10,659,575 31,978,726 15,989,363 47,968,090 23,984,045 71,952,136 35,976,068 17,988,034 8,994,017 26,982,052 13,491,026 6,745,513 20,236,540 10,118,270 5,059,135 15,177,406 7,588,703 22,766,110 11,383,055 34,149,166 17,074,583 51,223,750 25,611,875 76,835,626 38,417,813 115,253,440 57,626,720 28,813,360 14,406,680 7,203,340 3,601,670 1,800,835 5,402,506 2,701,253 8,103,760 4,051,880 2,025,940 1,012,970

More profiles

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