λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,714,728

23,714,728

23 × 17 × 41 × 4253
Abundant Even Composite

23,714,728 factors as 2^3 × 17 × 41 × 4253. Its 32 positive divisors give a proper-divisor sum of 24,525,632, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 41 × 4253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 48,240,360
Proper Divisor Sum 24,525,632
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #23714689 ← → #23714729

Radix Representation

Decimal 23714728
Binary 1011010011101101110101000 (25 bits)
Octal 0o132355650
Hexadecimal 0x169DBA8

Divisor Catalog (32)

1 2 4 8 17 34 41 68 82 136 164 328 697 1,394 2,788 4,253 5,576 8,506 17,012 34,024 72,301 144,602 174,373 289,204 348,746 578,408 697,492 1,394,984 2,964,341 5,928,682 11,857,364 23,714,728

Collatz Trajectory (123 steps to reach 1)

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

23,714,728 11,857,364 5,928,682 2,964,341 8,893,024 4,446,512 2,223,256 1,111,628 555,814 277,907 833,722 416,861 1,250,584 625,292 312,646 156,323 468,970 234,485 703,456 351,728 175,864 87,932 43,966 21,983 65,950 32,975 98,926 49,463 148,390 74,195 222,586 111,293 333,880 166,940 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #23,714,727 Browse Full Index Next Integer #23,714,729 →