λ
Harmonic Matrix

2,428,927

251 × 9677
Deficient Odd Composite

2,428,927 has digital root 7. The neighboring primes are 2428919 and 2428931; its proper-divisor sum differs from the starting integer by -2,418,998.

Prime Factor Structure

Factorization String 251 × 9677
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,438,856
Proper Divisor Sum 9,929
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2428919 ← → #2428931

Radix Representation

Decimal 2428927
Binary 1001010000111111111111 (22 bits)
Octal 0o11207777
Hexadecimal 0x250FFF

Divisor Catalog (4)

1 251 9,677 2,428,927

Collatz Trajectory (236 steps to reach 1)

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

2,428,927 7,286,782 3,643,391 10,930,174 5,465,087 16,395,262 8,197,631 24,592,894 12,296,447 36,889,342 18,444,671 55,334,014 27,667,007 83,001,022 41,500,511 124,501,534 62,250,767 186,752,302 93,376,151 280,128,454 140,064,227 420,192,682 210,096,341 630,289,024 315,144,512 157,572,256 78,786,128 39,393,064 19,696,532 9,848,266 4,924,133 14,772,400 7,386,200 3,693,100 1,846,550 923,275 2,769,826 1,384,913 4,154,740 2,077,370 1,038,685 3,116,056 1,558,028 779,014 389,507 1,168,522 584,261 1,752,784 876,392 438,196 219,098 109,549 328,648 164,324 82,162 41,081 123,244 61,622 30,811 92,434

More profiles

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