λ
Harmonic Matrix

2,464,892

22 × 616223
Deficient Even Composite

2,464,892 has digital root 8. The neighboring primes are 2464877 and 2464897; its proper-divisor sum differs from the starting integer by -616,216.

Prime Factor Structure

Factorization String 2^2 × 616223
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,313,568
Proper Divisor Sum 1,848,676
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2464877 ← → #2464897

Radix Representation

Decimal 2464892
Binary 1001011001110001111100 (22 bits)
Octal 0o11316174
Hexadecimal 0x259C7C

Divisor Catalog (6)

1 2 4 616,223 1,232,446 2,464,892

Collatz Trajectory (55 steps to reach 1)

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

2,464,892 1,232,446 616,223 1,848,670 924,335 2,773,006 1,386,503 4,159,510 2,079,755 6,239,266 3,119,633 9,358,900 4,679,450 2,339,725 7,019,176 3,509,588 1,754,794 877,397 2,632,192 1,316,096 658,048 329,024 164,512 82,256 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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