λ
Harmonic Matrix

4,431,254

2 × 17 × 472 × 59
Deficient Even Composite

4,431,254 has digital root 5. The neighboring primes are 4431241 and 4431257; its proper-divisor sum differs from the starting integer by -1,549,828.

Prime Factor Structure

Factorization String 2 × 17 × 47^2 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,312,680
Proper Divisor Sum 2,881,426
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4431241 ← → #4431257

Radix Representation

Decimal 4431254
Binary 10000111001110110010110 (23 bits)
Octal 0o20716626
Hexadecimal 0x439D96

Divisor Catalog (24)

1 2 17 34 47 59 94 118 799 1,003 1,598 2,006 2,209 2,773 4,418 5,546 37,553 47,141 75,106 94,282 130,331 260,662 2,215,627 4,431,254

Collatz Trajectory (141 steps to reach 1)

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

4,431,254 2,215,627 6,646,882 3,323,441 9,970,324 4,985,162 2,492,581 7,477,744 3,738,872 1,869,436 934,718 467,359 1,402,078 701,039 2,103,118 1,051,559 3,154,678 1,577,339 4,732,018 2,366,009 7,098,028 3,549,014 1,774,507 5,323,522 2,661,761 7,985,284 3,992,642 1,996,321 5,988,964 2,994,482 1,497,241 4,491,724 2,245,862 1,122,931 3,368,794 1,684,397 5,053,192 2,526,596 1,263,298 631,649 1,894,948 947,474 473,737 1,421,212 710,606 355,303 1,065,910 532,955 1,598,866 799,433 2,398,300 1,199,150 599,575 1,798,726 899,363 2,698,090 1,349,045 4,047,136 2,023,568 1,011,784

More profiles

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