λ
Harmonic Matrix

4,241,722

2 × 227 × 9343
Deficient Even Composite

4,241,722 has digital root 4. The neighboring primes are 4241711 and 4241723; its proper-divisor sum differs from the starting integer by -2,092,148.

Prime Factor Structure

Factorization String 2 × 227 × 9343
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,391,296
Proper Divisor Sum 2,149,574
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4241711 ← → #4241723

Radix Representation

Decimal 4241722
Binary 10000001011100100111010 (23 bits)
Octal 0o20134472
Hexadecimal 0x40B93A

Divisor Catalog (8)

1 2 227 454 9,343 18,686 2,120,861 4,241,722

Collatz Trajectory (105 steps to reach 1)

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

4,241,722 2,120,861 6,362,584 3,181,292 1,590,646 795,323 2,385,970 1,192,985 3,578,956 1,789,478 894,739 2,684,218 1,342,109 4,026,328 2,013,164 1,006,582 503,291 1,509,874 754,937 2,264,812 1,132,406 566,203 1,698,610 849,305 2,547,916 1,273,958 636,979 1,910,938 955,469 2,866,408 1,433,204 716,602 358,301 1,074,904 537,452 268,726 134,363 403,090 201,545 604,636 302,318 151,159 453,478 226,739 680,218 340,109 1,020,328 510,164 255,082 127,541 382,624 191,312 95,656 47,828 23,914 11,957 35,872 17,936 8,968 4,484

More profiles

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