7,221,742

2 × 11 × 103 × 3187

7,221,742 factors as 2 × 11 × 103 × 3187. Its 16 positive divisors give a proper-divisor sum of 4,714,130, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 11 × 103 × 3187

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,935,872

Proper Divisor Sum 4,714,130

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7221737 ← → #7221743

Radix Representation

Decimal	7221742
Binary	11011100011000111101110 (23 bits)
Octal	0o33430756
Hexadecimal	0x6E31EE

Divisor Catalog (16)

1 2 11 22 103 206 1,133 2,266 3,187 6,374 35,057 70,114 328,261 656,522 3,610,871 7,221,742

Collatz Trajectory (90 steps to reach 1)

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

7,221,742 3,610,871 10,832,614 5,416,307 16,248,922 8,124,461 24,373,384 12,186,692 6,093,346 3,046,673 9,140,020 4,570,010 2,285,005 6,855,016 3,427,508 1,713,754 856,877 2,570,632 1,285,316 642,658 321,329 963,988 481,994 240,997 722,992 361,496 180,748 90,374 45,187 135,562 67,781 203,344 101,672 50,836 25,418 12,709 38,128 19,064 9,532 4,766 2,383 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640

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