4,072,023

3² × 19 × 23813

4,072,023 factors as 3^2 × 19 × 23813. Its 12 positive divisors give a proper-divisor sum of 2,119,617, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 23813

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,191,640

Proper Divisor Sum 2,119,617

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4072009 ← → #4072039

Radix Representation

Decimal	4072023
Binary	1111100010001001010111 (22 bits)
Octal	0o17421127
Hexadecimal	0x3E2257

Divisor Catalog (12)

1 3 9 19 57 171 23,813 71,439 214,317 452,447 1,357,341 4,072,023

Collatz Trajectory (229 steps to reach 1)

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

4,072,023 12,216,070 6,108,035 18,324,106 9,162,053 27,486,160 13,743,080 6,871,540 3,435,770 1,717,885 5,153,656 2,576,828 1,288,414 644,207 1,932,622 966,311 2,898,934 1,449,467 4,348,402 2,174,201 6,522,604 3,261,302 1,630,651 4,891,954 2,445,977 7,337,932 3,668,966 1,834,483 5,503,450 2,751,725 8,255,176 4,127,588 2,063,794 1,031,897 3,095,692 1,547,846 773,923 2,321,770 1,160,885 3,482,656 1,741,328 870,664 435,332 217,666 108,833 326,500 163,250 81,625 244,876 122,438 61,219 183,658 91,829 275,488 137,744 68,872 34,436 17,218 8,609 25,828

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