3,472,885

5 × 13 × 23² × 101

3,472,885 factors as 5 × 13 × 23^2 × 101. Its 24 positive divisors give a proper-divisor sum of 1,265,219, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 5 × 13 × 23^2 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,738,104

Proper Divisor Sum 1,265,219

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3472883 ← → #3472897

Radix Representation

Decimal	3472885
Binary	1101001111110111110101 (22 bits)
Octal	0o15176765
Hexadecimal	0x34FDF5

Divisor Catalog (24)

Collatz Trajectory (128 steps to reach 1)

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

3,472,885 10,418,656 5,209,328 2,604,664 1,302,332 651,166 325,583 976,750 488,375 1,465,126 732,563 2,197,690 1,098,845 3,296,536 1,648,268 824,134 412,067 1,236,202 618,101 1,854,304 927,152 463,576 231,788 115,894 57,947 173,842 86,921 260,764 130,382 65,191 195,574 97,787 293,362 146,681 440,044 220,022 110,011 330,034 165,017 495,052 247,526 123,763 371,290 185,645 556,936 278,468 139,234 69,617 208,852 104,426 52,213 156,640 78,320 39,160 19,580 9,790 4,895 14,686 7,343 22,030

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