41,227,684

2² × 23 × 137 × 3271

41,227,684 factors as 2^2 × 23 × 137 × 3271. Its 24 positive divisors give a proper-divisor sum of 34,630,364, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 137 × 3271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 75,858,048

Proper Divisor Sum 34,630,364

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #41227639 ← → #41227687

Radix Representation

Decimal	41227684
Binary	10011101010001010110100100 (26 bits)
Octal	0o235212644
Hexadecimal	0x27515A4

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

41,227,684 20,613,842 10,306,921 30,920,764 15,460,382 7,730,191 23,190,574 11,595,287 34,785,862 17,392,931 52,178,794 26,089,397 78,268,192 39,134,096 19,567,048 9,783,524 4,891,762 2,445,881 7,337,644 3,668,822 1,834,411 5,503,234 2,751,617 8,254,852 4,127,426 2,063,713 6,191,140 3,095,570 1,547,785 4,643,356 2,321,678 1,160,839 3,482,518 1,741,259 5,223,778 2,611,889 7,835,668 3,917,834 1,958,917 5,876,752 2,938,376 1,469,188 734,594 367,297 1,101,892 550,946 275,473 826,420 413,210 206,605 619,816 309,908 154,954 77,477 232,432 116,216 58,108 29,054 14,527 43,582

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