λ
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Atlas › Integer Profiles › Node 23,652,080

23,652,080

24 × 5 × 41 × 7211
Abundant Even Composite

23,652,080 factors as 2^4 × 5 × 41 × 7211. Its 40 positive divisors give a proper-divisor sum of 32,688,064, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 41 × 7211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 56,340,144
Proper Divisor Sum 32,688,064
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #23652071 ← → #23652113

Radix Representation

Decimal 23652080
Binary 1011010001110011011110000 (25 bits)
Octal 0o132163360
Hexadecimal 0x168E6F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1,640 3,280 7,211 14,422 28,844 36,055 57,688 72,110 115,376 144,220 288,440 295,651 576,880 591,302 1,182,604 1,478,255 2,365,208 2,956,510 4,730,416 5,913,020 11,826,040 23,652,080

Collatz Trajectory (172 steps to reach 1)

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

23,652,080 11,826,040 5,913,020 2,956,510 1,478,255 4,434,766 2,217,383 6,652,150 3,326,075 9,978,226 4,989,113 14,967,340 7,483,670 3,741,835 11,225,506 5,612,753 16,838,260 8,419,130 4,209,565 12,628,696 6,314,348 3,157,174 1,578,587 4,735,762 2,367,881 7,103,644 3,551,822 1,775,911 5,327,734 2,663,867 7,991,602 3,995,801 11,987,404 5,993,702 2,996,851 8,990,554 4,495,277 13,485,832 6,742,916 3,371,458 1,685,729 5,057,188 2,528,594 1,264,297 3,792,892 1,896,446 948,223 2,844,670 1,422,335 4,267,006 2,133,503 6,400,510 3,200,255 9,600,766 4,800,383 14,401,150 7,200,575 21,601,726 10,800,863 32,402,590

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