λ
Integer Codex

7,273,820

22 × 5 × 363691
Abundant Even Composite

For 7,273,820, the 12 positive divisors have a total of 15,275,064. Removing 7,273,820 leaves 8,001,244, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 363691
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,275,064
Proper Divisor Sum 8,001,244
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7273817 ← → #7273829

Radix Representation

Decimal 7273820
Binary 11011101111110101011100 (23 bits)
Octal 0o33576534
Hexadecimal 0x6EFD5C

Divisor Catalog (12)

1 2 4 5 10 20 363,691 727,382 1,454,764 1,818,455 3,636,910 7,273,820

Collatz Trajectory (235 steps to reach 1)

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

7,273,820 3,636,910 1,818,455 5,455,366 2,727,683 8,183,050 4,091,525 12,274,576 6,137,288 3,068,644 1,534,322 767,161 2,301,484 1,150,742 575,371 1,726,114 863,057 2,589,172 1,294,586 647,293 1,941,880 970,940 485,470 242,735 728,206 364,103 1,092,310 546,155 1,638,466 819,233 2,457,700 1,228,850 614,425 1,843,276 921,638 460,819 1,382,458 691,229 2,073,688 1,036,844 518,422 259,211 777,634 388,817 1,166,452 583,226 291,613 874,840 437,420 218,710 109,355 328,066 164,033 492,100 246,050 123,025 369,076 184,538 92,269 276,808

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