λ
Harmonic Matrix

4,794,940

22 × 5 × 47 × 5101
Abundant Even Composite

4,794,940 has digital root 1. The neighboring primes are 4794931 and 4794949; its proper-divisor sum differs from the starting integer by 695,752.

Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 5101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,285,632
Proper Divisor Sum 5,490,692
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4794931 ← → #4794949

Radix Representation

Decimal 4794940
Binary 10010010010101000111100 (23 bits)
Octal 0o22225074
Hexadecimal 0x492A3C

Divisor Catalog (24)

1 2 4 5 10 20 47 94 188 235 470 940 5,101 10,202 20,404 25,505 51,010 102,020 239,747 479,494 958,988 1,198,735 2,397,470 4,794,940

Collatz Trajectory (92 steps to reach 1)

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

4,794,940 2,397,470 1,198,735 3,596,206 1,798,103 5,394,310 2,697,155 8,091,466 4,045,733 12,137,200 6,068,600 3,034,300 1,517,150 758,575 2,275,726 1,137,863 3,413,590 1,706,795 5,120,386 2,560,193 7,680,580 3,840,290 1,920,145 5,760,436 2,880,218 1,440,109 4,320,328 2,160,164 1,080,082 540,041 1,620,124 810,062 405,031 1,215,094 607,547 1,822,642 911,321 2,733,964 1,366,982 683,491 2,050,474 1,025,237 3,075,712 1,537,856 768,928 384,464 192,232 96,116 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069

More profiles

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