λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,577,285

17,577,285

3 × 5 × 11 × 307 × 347
Deficient Odd Composite

17,577,285 factors as 3 × 5 × 11 × 307 × 347. Its 32 positive divisors give a proper-divisor sum of 13,291,707, so this integer is deficient. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 307 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,868,992
Proper Divisor Sum 13,291,707
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #17577283 ← → #17577293

Radix Representation

Decimal 17577285
Binary 1000011000011010101000101 (25 bits)
Octal 0o103032505
Hexadecimal 0x10C3545

Divisor Catalog (32)

1 3 5 11 15 33 55 165 307 347 921 1,041 1,535 1,735 3,377 3,817 4,605 5,205 10,131 11,451 16,885 19,085 50,655 57,255 106,529 319,587 532,645 1,171,819 1,597,935 3,515,457 5,859,095 17,577,285

Collatz Trajectory (226 steps to reach 1)

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

17,577,285 52,731,856 26,365,928 13,182,964 6,591,482 3,295,741 9,887,224 4,943,612 2,471,806 1,235,903 3,707,710 1,853,855 5,561,566 2,780,783 8,342,350 4,171,175 12,513,526 6,256,763 18,770,290 9,385,145 28,155,436 14,077,718 7,038,859 21,116,578 10,558,289 31,674,868 15,837,434 7,918,717 23,756,152 11,878,076 5,939,038 2,969,519 8,908,558 4,454,279 13,362,838 6,681,419 20,044,258 10,022,129 30,066,388 15,033,194 7,516,597 22,549,792 11,274,896 5,637,448 2,818,724 1,409,362 704,681 2,114,044 1,057,022 528,511 1,585,534 792,767 2,378,302 1,189,151 3,567,454 1,783,727 5,351,182 2,675,591 8,026,774 4,013,387

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,577,284 Browse Full Index Next Integer #17,577,286 →