λ
Harmonic Matrix

4,721,842

2 × 19 × 137 × 907
Deficient Even Composite

4,721,842 has digital root 1. The neighboring primes are 4721839 and 4721879; its proper-divisor sum differs from the starting integer by -1,925,444.

Prime Factor Structure

Factorization String 2 × 19 × 137 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,518,240
Proper Divisor Sum 2,796,398
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4721839 ← → #4721879

Radix Representation

Decimal 4721842
Binary 10010000000110010110010 (23 bits)
Octal 0o22006262
Hexadecimal 0x480CB2

Divisor Catalog (16)

1 2 19 38 137 274 907 1,814 2,603 5,206 17,233 34,466 124,259 248,518 2,360,921 4,721,842

Collatz Trajectory (74 steps to reach 1)

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

4,721,842 2,360,921 7,082,764 3,541,382 1,770,691 5,312,074 2,656,037 7,968,112 3,984,056 1,992,028 996,014 498,007 1,494,022 747,011 2,241,034 1,120,517 3,361,552 1,680,776 840,388 420,194 210,097 630,292 315,146 157,573 472,720 236,360 118,180 59,090 29,545 88,636 44,318 22,159 66,478 33,239 99,718 49,859 149,578 74,789 224,368 112,184 56,092 28,046 14,023 42,070 21,035 63,106 31,553 94,660 47,330 23,665 70,996 35,498 17,749 53,248 26,624 13,312 6,656 3,328 1,664 832

More profiles

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