λ
Ratio Atlas

37,192,559

4919 × 7561
Deficient Odd Composite

37,192,559 factors as 4919 × 7561. Its 4 positive divisors give a proper-divisor sum of 12,481, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 4919 × 7561
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 37,205,040
Proper Divisor Sum 12,481
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #37192553 ← → #37192567

Radix Representation

Decimal 37192559
Binary 10001101111000001101101111 (26 bits)
Octal 0o215701557
Hexadecimal 0x237836F

Divisor Catalog (4)

Collatz Trajectory (209 steps to reach 1)

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

37,192,559 111,577,678 55,788,839 167,366,518 83,683,259 251,049,778 125,524,889 376,574,668 188,287,334 94,143,667 282,431,002 141,215,501 423,646,504 211,823,252 105,911,626 52,955,813 158,867,440 79,433,720 39,716,860 19,858,430 9,929,215 29,787,646 14,893,823 44,681,470 22,340,735 67,022,206 33,511,103 100,533,310 50,266,655 150,799,966 75,399,983 226,199,950 113,099,975 339,299,926 169,649,963 508,949,890 254,474,945 763,424,836 381,712,418 190,856,209 572,568,628 286,284,314 143,142,157 429,426,472 214,713,236 107,356,618 53,678,309 161,034,928 80,517,464 40,258,732 20,129,366 10,064,683 30,194,050 15,097,025 45,291,076 22,645,538 11,322,769 33,968,308 16,984,154 8,492,077

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