λ
Harmonic Matrix

5,670,748

22 × 397 × 3571
Deficient Even Composite

5,670,748 has digital root 1. The neighboring primes are 5670703 and 5670757; its proper-divisor sum differs from the starting integer by -1,389,904.

Prime Factor Structure

Factorization String 2^2 × 397 × 3571
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,951,592
Proper Divisor Sum 4,280,844
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5670703 ← → #5670757

Radix Representation

Decimal 5670748
Binary 10101101000011101011100 (23 bits)
Octal 0o25503534
Hexadecimal 0x56875C

Divisor Catalog (12)

1 2 4 397 794 1,588 3,571 7,142 14,284 1,417,687 2,835,374 5,670,748

Collatz Trajectory (139 steps to reach 1)

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

5,670,748 2,835,374 1,417,687 4,253,062 2,126,531 6,379,594 3,189,797 9,569,392 4,784,696 2,392,348 1,196,174 598,087 1,794,262 897,131 2,691,394 1,345,697 4,037,092 2,018,546 1,009,273 3,027,820 1,513,910 756,955 2,270,866 1,135,433 3,406,300 1,703,150 851,575 2,554,726 1,277,363 3,832,090 1,916,045 5,748,136 2,874,068 1,437,034 718,517 2,155,552 1,077,776 538,888 269,444 134,722 67,361 202,084 101,042 50,521 151,564 75,782 37,891 113,674 56,837 170,512 85,256 42,628 21,314 10,657 31,972 15,986 7,993 23,980 11,990 5,995

More profiles

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