λ
Harmonic Matrix

2,434,348

22 × 7 × 227 × 383
Abundant Even Composite

2,434,348 has digital root 1. The neighboring primes are 2434339 and 2434351; its proper-divisor sum differs from the starting integer by 34,216.

Prime Factor Structure

Factorization String 2^2 × 7 × 227 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,902,912
Proper Divisor Sum 2,468,564
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2434339 ← → #2434351

Radix Representation

Decimal 2434348
Binary 1001010010010100101100 (22 bits)
Octal 0o11222454
Hexadecimal 0x25252C

Divisor Catalog (24)

1 2 4 7 14 28 227 383 454 766 908 1,532 1,589 2,681 3,178 5,362 6,356 10,724 86,941 173,882 347,764 608,587 1,217,174 2,434,348

Collatz Trajectory (174 steps to reach 1)

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

2,434,348 1,217,174 608,587 1,825,762 912,881 2,738,644 1,369,322 684,661 2,053,984 1,026,992 513,496 256,748 128,374 64,187 192,562 96,281 288,844 144,422 72,211 216,634 108,317 324,952 162,476 81,238 40,619 121,858 60,929 182,788 91,394 45,697 137,092 68,546 34,273 102,820 51,410 25,705 77,116 38,558 19,279 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443

More profiles

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