λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,527,164

17,527,164

22 × 3 × 449 × 3253
Abundant Even Composite

17,527,164 factors as 2^2 × 3 × 449 × 3253. Its 24 positive divisors give a proper-divisor sum of 23,473,236, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 449 × 3253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 41,000,400
Proper Divisor Sum 23,473,236
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17527163 ← → #17527171

Radix Representation

Decimal 17527164
Binary 1000010110111000101111100 (25 bits)
Octal 0o102670574
Hexadecimal 0x10B717C

Divisor Catalog (24)

1 2 3 4 6 12 449 898 1,347 1,796 2,694 3,253 5,388 6,506 9,759 13,012 19,518 39,036 1,460,597 2,921,194 4,381,791 5,842,388 8,763,582 17,527,164

Collatz Trajectory (151 steps to reach 1)

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

17,527,164 8,763,582 4,381,791 13,145,374 6,572,687 19,718,062 9,859,031 29,577,094 14,788,547 44,365,642 22,182,821 66,548,464 33,274,232 16,637,116 8,318,558 4,159,279 12,477,838 6,238,919 18,716,758 9,358,379 28,075,138 14,037,569 42,112,708 21,056,354 10,528,177 31,584,532 15,792,266 7,896,133 23,688,400 11,844,200 5,922,100 2,961,050 1,480,525 4,441,576 2,220,788 1,110,394 555,197 1,665,592 832,796 416,398 208,199 624,598 312,299 936,898 468,449 1,405,348 702,674 351,337 1,054,012 527,006 263,503 790,510 395,255 1,185,766 592,883 1,778,650 889,325 2,667,976 1,333,988 666,994

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,527,163 Browse Full Index Next Integer #17,527,165 →