17,672,000

2⁶ × 5³ × 47²

17,672,000 factors as 2^6 × 5^3 × 47^2. Its 84 positive divisors give a proper-divisor sum of 27,043,684, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^6 × 5^3 × 47^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 44,715,684

Proper Divisor Sum 27,043,684

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #17671999 ← → #17672009

Radix Representation

Decimal	17672000
Binary	1000011011010011101000000 (25 bits)
Octal	0o103323500
Hexadecimal	0x10DA740

Divisor Catalog (60 of 84)

1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 160 188 200 235 250 320 376 400 470 500 752 800 940 1,000 1,175 1,504 1,600 1,880 2,000 2,209 2,350 3,008 3,760 4,000 4,418 4,700 5,875 7,520 8,000 8,836 9,400 11,045 11,750 15,040 17,672 18,800 22,090 23,500 35,344 37,600 44,180 47,000

Collatz Trajectory (182 steps to reach 1)

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

17,672,000 8,836,000 4,418,000 2,209,000 1,104,500 552,250 276,125 828,376 414,188 207,094 103,547 310,642 155,321 465,964 232,982 116,491 349,474 174,737 524,212 262,106 131,053 393,160 196,580 98,290 49,145 147,436 73,718 36,859 110,578 55,289 165,868 82,934 41,467 124,402 62,201 186,604 93,302 46,651 139,954 69,977 209,932 104,966 52,483 157,450 78,725 236,176 118,088 59,044 29,522 14,761 44,284 22,142 11,071 33,214 16,607 49,822 24,911 74,734 37,367 112,102

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,671,999 Browse Full Index Next Integer #17,672,001 →