λ
Ratio Atlas

7,646,221

11 × 695111
Deficient Odd Composite

7,646,221 factors as 11 × 695111. Its 4 positive divisors give a proper-divisor sum of 695,123, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 11 × 695111
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,341,344
Proper Divisor Sum 695,123
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7646201 ← → #7646231

Radix Representation

Decimal 7646221
Binary 11101001010110000001101 (23 bits)
Octal 0o35126015
Hexadecimal 0x74AC0D

Divisor Catalog (4)

1 11 695,111 7,646,221

Collatz Trajectory (142 steps to reach 1)

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

7,646,221 22,938,664 11,469,332 5,734,666 2,867,333 8,602,000 4,301,000 2,150,500 1,075,250 537,625 1,612,876 806,438 403,219 1,209,658 604,829 1,814,488 907,244 453,622 226,811 680,434 340,217 1,020,652 510,326 255,163 765,490 382,745 1,148,236 574,118 287,059 861,178 430,589 1,291,768 645,884 322,942 161,471 484,414 242,207 726,622 363,311 1,089,934 544,967 1,634,902 817,451 2,452,354 1,226,177 3,678,532 1,839,266 919,633 2,758,900 1,379,450 689,725 2,069,176 1,034,588 517,294 258,647 775,942 387,971 1,163,914 581,957 1,745,872

More profiles

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