λ
Harmonic Matrix

4,304,248

23 × 13 × 41387
Abundant Even Composite

4,304,248 has digital root 7. The neighboring primes are 4304231 and 4304249; its proper-divisor sum differs from the starting integer by 82,984.

Prime Factor Structure

Factorization String 2^3 × 13 × 41387
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,691,480
Proper Divisor Sum 4,387,232
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4304231 ← → #4304249

Radix Representation

Decimal 4304248
Binary 10000011010110101111000 (23 bits)
Octal 0o20326570
Hexadecimal 0x41AD78

Divisor Catalog (16)

1 2 4 8 13 26 52 104 41,387 82,774 165,548 331,096 538,031 1,076,062 2,152,124 4,304,248

Collatz Trajectory (118 steps to reach 1)

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

4,304,248 2,152,124 1,076,062 538,031 1,614,094 807,047 2,421,142 1,210,571 3,631,714 1,815,857 5,447,572 2,723,786 1,361,893 4,085,680 2,042,840 1,021,420 510,710 255,355 766,066 383,033 1,149,100 574,550 287,275 861,826 430,913 1,292,740 646,370 323,185 969,556 484,778 242,389 727,168 363,584 181,792 90,896 45,448 22,724 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556

More profiles

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