7,427,220

2² × 3 × 5 × 123787

For 7,427,220, the 24 positive divisors have a total of 20,796,384. Removing 7,427,220 leaves 13,369,164, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 123787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,796,384

Proper Divisor Sum 13,369,164

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7427209 ← → #7427221

Radix Representation

Decimal	7427220
Binary	11100010101010010010100 (23 bits)
Octal	0o34252224
Hexadecimal	0x715494

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 123,787 247,574 371,361 495,148 618,935 742,722 1,237,870 1,485,444 1,856,805 2,475,740 3,713,610 7,427,220

Collatz Trajectory (142 steps to reach 1)

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

7,427,220 3,713,610 1,856,805 5,570,416 2,785,208 1,392,604 696,302 348,151 1,044,454 522,227 1,566,682 783,341 2,350,024 1,175,012 587,506 293,753 881,260 440,630 220,315 660,946 330,473 991,420 495,710 247,855 743,566 371,783 1,115,350 557,675 1,673,026 836,513 2,509,540 1,254,770 627,385 1,882,156 941,078 470,539 1,411,618 705,809 2,117,428 1,058,714 529,357 1,588,072 794,036 397,018 198,509 595,528 297,764 148,882 74,441 223,324 111,662 55,831 167,494 83,747 251,242 125,621 376,864 188,432 94,216 47,108

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