4,177,595

5 × 29 × 47 × 613

4,177,595 factors as 5 × 29 × 47 × 613. Its 16 positive divisors give a proper-divisor sum of 1,127,365, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 5 × 29 × 47 × 613

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,304,960

Proper Divisor Sum 1,127,365

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4177573 ← → #4177609

Radix Representation

Decimal	4177595
Binary	1111111011111010111011 (22 bits)
Octal	0o17737273
Hexadecimal	0x3FBEBB

Divisor Catalog (16)

1 5 29 47 145 235 613 1,363 3,065 6,815 17,777 28,811 88,885 144,055 835,519 4,177,595

Collatz Trajectory (136 steps to reach 1)

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

4,177,595 12,532,786 6,266,393 18,799,180 9,399,590 4,699,795 14,099,386 7,049,693 21,149,080 10,574,540 5,287,270 2,643,635 7,930,906 3,965,453 11,896,360 5,948,180 2,974,090 1,487,045 4,461,136 2,230,568 1,115,284 557,642 278,821 836,464 418,232 209,116 104,558 52,279 156,838 78,419 235,258 117,629 352,888 176,444 88,222 44,111 132,334 66,167 198,502 99,251 297,754 148,877 446,632 223,316 111,658 55,829 167,488 83,744 41,872 20,936 10,468 5,234 2,617 7,852 3,926 1,963 5,890 2,945 8,836 4,418

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