λ
Harmonic Matrix

4,276,928

26 × 17 × 3931
Abundant Even Composite

4,276,928 has digital root 2. The neighboring primes are 4276927 and 4276931; its proper-divisor sum differs from the starting integer by 434,696.

Prime Factor Structure

Factorization String 2^6 × 17 × 3931
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 8,988,552
Proper Divisor Sum 4,711,624
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4276927 ← → #4276931

Radix Representation

Decimal 4276928
Binary 10000010100001011000000 (23 bits)
Octal 0o20241300
Hexadecimal 0x4142C0

Divisor Catalog (28)

1 2 4 8 16 17 32 34 64 68 136 272 544 1,088 3,931 7,862 15,724 31,448 62,896 66,827 125,792 133,654 251,584 267,308 534,616 1,069,232 2,138,464 4,276,928

Collatz Trajectory (167 steps to reach 1)

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

4,276,928 2,138,464 1,069,232 534,616 267,308 133,654 66,827 200,482 100,241 300,724 150,362 75,181 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760

More profiles

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