176,540

2² × 5 × 7 × 13 × 97

176,540 factors as 2^2 × 5 × 7 × 13 × 97. Its 48 positive divisors give a proper-divisor sum of 284,452, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 460,992

Proper Divisor Sum 284,452

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #176537 ← → #176549

Radix Representation

Decimal	176540
Binary	101011000110011100 (18 bits)
Octal	0o530634
Hexadecimal	0x2B19C

Divisor Catalog (48)

1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 97 130 140 182 194 260 364 388 455 485 679 910 970 1,261 1,358 1,820 1,940 2,522 2,716 3,395 5,044 6,305 6,790 8,827 12,610 13,580 17,654 25,220 35,308 44,135 88,270 176,540

Collatz Trajectory (152 steps to reach 1)

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

176,540 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634 715,817 2,147,452 1,073,726 536,863 1,610,590 805,295 2,415,886 1,207,943 3,623,830 1,811,915 5,435,746 2,717,873 8,153,620 4,076,810 2,038,405 6,115,216 3,057,608 1,528,804 764,402 382,201 1,146,604 573,302 286,651 859,954 429,977 1,289,932 644,966 322,483 967,450 483,725 1,451,176

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #176,539 Browse Full Index Next Integer #176,541 →