36,975,267

3² × 7 × 586909

36,975,267 factors as 3^2 × 7 × 586909. Its 12 positive divisors give a proper-divisor sum of 24,063,373, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 586909

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 61,038,640

Proper Divisor Sum 24,063,373

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36975233 ← → #36975269

Radix Representation

Decimal	36975267
Binary	10001101000011001010100011 (26 bits)
Octal	0o215031243
Hexadecimal	0x23432A3

Divisor Catalog (12)

1 3 7 9 21 63 586,909 1,760,727 4,108,363 5,282,181 12,325,089 36,975,267

Collatz Trajectory (165 steps to reach 1)

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

36,975,267 110,925,802 55,462,901 166,388,704 83,194,352 41,597,176 20,798,588 10,399,294 5,199,647 15,598,942 7,799,471 23,398,414 11,699,207 35,097,622 17,548,811 52,646,434 26,323,217 78,969,652 39,484,826 19,742,413 59,227,240 29,613,620 14,806,810 7,403,405 22,210,216 11,105,108 5,552,554 2,776,277 8,328,832 4,164,416 2,082,208 1,041,104 520,552 260,276 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094

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