23,588,117

7 × 31 × 71 × 1531

23,588,117 factors as 7 × 31 × 71 × 1531. Its 16 positive divisors give a proper-divisor sum of 4,649,707, so this integer is deficient. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 7 × 31 × 71 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 28,237,824

Proper Divisor Sum 4,649,707

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #23588099 ← → #23588119

Radix Representation

Decimal	23588117
Binary	1011001111110110100010101 (25 bits)
Octal	0o131766425
Hexadecimal	0x167ED15

Divisor Catalog (16)

1 7 31 71 217 497 1,531 2,201 10,717 15,407 47,461 108,701 332,227 760,907 3,369,731 23,588,117

Collatz Trajectory (291 steps to reach 1)

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

23,588,117 70,764,352 35,382,176 17,691,088 8,845,544 4,422,772 2,211,386 1,105,693 3,317,080 1,658,540 829,270 414,635 1,243,906 621,953 1,865,860 932,930 466,465 1,399,396 699,698 349,849 1,049,548 524,774 262,387 787,162 393,581 1,180,744 590,372 295,186 147,593 442,780 221,390 110,695 332,086 166,043 498,130 249,065 747,196 373,598 186,799 560,398 280,199 840,598 420,299 1,260,898 630,449 1,891,348 945,674 472,837 1,418,512 709,256 354,628 177,314 88,657 265,972 132,986 66,493 199,480 99,740 49,870 24,935

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