λ
Ratio Atlas

8,141,237

132 × 67 × 719
Deficient Odd Composite

8,141,237 factors as 13^2 × 67 × 719. Its 12 positive divisors give a proper-divisor sum of 818,443, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 13^2 × 67 × 719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,959,680
Proper Divisor Sum 818,443
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8141227 ← → #8141261

Radix Representation

Decimal 8141237
Binary 11111000011100110110101 (23 bits)
Octal 0o37034665
Hexadecimal 0x7C39B5

Divisor Catalog (12)

1 13 67 169 719 871 9,347 11,323 48,173 121,511 626,249 8,141,237

Collatz Trajectory (111 steps to reach 1)

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

8,141,237 24,423,712 12,211,856 6,105,928 3,052,964 1,526,482 763,241 2,289,724 1,144,862 572,431 1,717,294 858,647 2,575,942 1,287,971 3,863,914 1,931,957 5,795,872 2,897,936 1,448,968 724,484 362,242 181,121 543,364 271,682 135,841 407,524 203,762 101,881 305,644 152,822 76,411 229,234 114,617 343,852 171,926 85,963 257,890 128,945 386,836 193,418 96,709 290,128 145,064 72,532 36,266 18,133 54,400 27,200 13,600 6,800 3,400 1,700 850 425 1,276 638 319 958 479 1,438

More profiles

← Previous Integer #8,141,236 Browse Full Index Next Integer #8,141,238 →