λ
Harmonic Matrix

8,746,378

2 × 53 × 109 × 757
Deficient Even Composite

8,746,378 has digital root 7. The neighboring primes are 8746369 and 8746379; its proper-divisor sum differs from the starting integer by -3,985,196.

Prime Factor Structure

Factorization String 2 × 53 × 109 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,507,560
Proper Divisor Sum 4,761,182
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8746369 ← → #8746379

Radix Representation

Decimal 8746378
Binary 100001010111010110001010 (24 bits)
Octal 0o41272612
Hexadecimal 0x85758A

Divisor Catalog (16)

1 2 53 106 109 218 757 1,514 5,777 11,554 40,121 80,242 82,513 165,026 4,373,189 8,746,378

Collatz Trajectory (93 steps to reach 1)

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

8,746,378 4,373,189 13,119,568 6,559,784 3,279,892 1,639,946 819,973 2,459,920 1,229,960 614,980 307,490 153,745 461,236 230,618 115,309 345,928 172,964 86,482 43,241 129,724 64,862 32,431 97,294 48,647 145,942 72,971 218,914 109,457 328,372 164,186 82,093 246,280 123,140 61,570 30,785 92,356 46,178 23,089 69,268 34,634 17,317 51,952 25,976 12,988 6,494 3,247 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250

More profiles

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