4,177,016

2³ × 522127

4,177,016 factors as 2^3 × 522127. Its 8 positive divisors give a proper-divisor sum of 3,654,904, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 522127

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,831,920

Proper Divisor Sum 3,654,904

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4176973 ← → #4177051

Radix Representation

Decimal	4177016
Binary	1111111011110001111000 (22 bits)
Octal	0o17736170
Hexadecimal	0x3FBC78

Divisor Catalog (8)

1 2 4 8 522,127 1,044,254 2,088,508 4,177,016

Collatz Trajectory (185 steps to reach 1)

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

4,177,016 2,088,508 1,044,254 522,127 1,566,382 783,191 2,349,574 1,174,787 3,524,362 1,762,181 5,286,544 2,643,272 1,321,636 660,818 330,409 991,228 495,614 247,807 743,422 371,711 1,115,134 557,567 1,672,702 836,351 2,509,054 1,254,527 3,763,582 1,881,791 5,645,374 2,822,687 8,468,062 4,234,031 12,702,094 6,351,047 19,053,142 9,526,571 28,579,714 14,289,857 42,869,572 21,434,786 10,717,393 32,152,180 16,076,090 8,038,045 24,114,136 12,057,068 6,028,534 3,014,267 9,042,802 4,521,401 13,564,204 6,782,102 3,391,051 10,173,154 5,086,577 15,259,732 7,629,866 3,814,933 11,444,800 5,722,400

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