λ
Sigma Notebook

4,335,780

22 × 3 × 5 × 127 × 569
Abundant Even Composite

4,335,780 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 127 × 569 and its 48 divisors sum to 12,257,280.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 127 × 569
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,257,280
Proper Divisor Sum 7,921,500
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4335767 ← → #4335787

Radix Representation

Decimal 4335780
Binary 10000100010100010100100 (23 bits)
Octal 0o20424244
Hexadecimal 0x4228A4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 569 635 762 1,138 1,270 1,524 1,707 1,905 2,276 2,540 2,845 3,414 3,810 5,690 6,828 7,620 8,535 11,380 17,070 34,140 72,263 144,526 216,789 289,052 361,315 433,578 722,630 867,156 1,083,945 1,445,260 2,167,890 4,335,780

Collatz Trajectory (149 steps to reach 1)

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

4,335,780 2,167,890 1,083,945 3,251,836 1,625,918 812,959 2,438,878 1,219,439 3,658,318 1,829,159 5,487,478 2,743,739 8,231,218 4,115,609 12,346,828 6,173,414 3,086,707 9,260,122 4,630,061 13,890,184 6,945,092 3,472,546 1,736,273 5,208,820 2,604,410 1,302,205 3,906,616 1,953,308 976,654 488,327 1,464,982 732,491 2,197,474 1,098,737 3,296,212 1,648,106 824,053 2,472,160 1,236,080 618,040 309,020 154,510 77,255 231,766 115,883 347,650 173,825 521,476 260,738 130,369 391,108 195,554 97,777 293,332 146,666 73,333 220,000 110,000 55,000 27,500

More profiles

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