λ
Match Zalai

7,264,222

2 × 7 × 241 × 2153
Deficient Even Composite

7,264,222 factors as 2 × 7 × 241 × 2153. Its 16 positive divisors give a proper-divisor sum of 5,246,210, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 7 × 241 × 2153
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,510,432
Proper Divisor Sum 5,246,210
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7264217 ← → #7264237

Radix Representation

Decimal 7264222
Binary 11011101101011111011110 (23 bits)
Octal 0o33553736
Hexadecimal 0x6ED7DE

Divisor Catalog (16)

1 2 7 14 241 482 1,687 2,153 3,374 4,306 15,071 30,142 518,873 1,037,746 3,632,111 7,264,222

Collatz Trajectory (173 steps to reach 1)

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

7,264,222 3,632,111 10,896,334 5,448,167 16,344,502 8,172,251 24,516,754 12,258,377 36,775,132 18,387,566 9,193,783 27,581,350 13,790,675 41,372,026 20,686,013 62,058,040 31,029,020 15,514,510 7,757,255 23,271,766 11,635,883 34,907,650 17,453,825 52,361,476 26,180,738 13,090,369 39,271,108 19,635,554 9,817,777 29,453,332 14,726,666 7,363,333 22,090,000 11,045,000 5,522,500 2,761,250 1,380,625 4,141,876 2,070,938 1,035,469 3,106,408 1,553,204 776,602 388,301 1,164,904 582,452 291,226 145,613 436,840 218,420 109,210 54,605 163,816 81,908 40,954 20,477 61,432 30,716 15,358 7,679

More profiles

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