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Atlas › Integer Profiles › Node 11,625,350

11,625,350

2 × 52 × 11 × 23 × 919
Abundant Even Composite

11,625,350 factors as 2 × 5^2 × 11 × 23 × 919. Its 48 positive divisors give a proper-divisor sum of 13,015,930, so this integer is abundant. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 23 × 919
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,641,280
Proper Divisor Sum 13,015,930
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #11625347 ← → #11625401

Radix Representation

Decimal 11625350
Binary 101100010110001110000110 (24 bits)
Octal 0o54261606
Hexadecimal 0xB16386

Divisor Catalog (48)

1 2 5 10 11 22 23 25 46 50 55 110 115 230 253 275 506 550 575 919 1,150 1,265 1,838 2,530 4,595 6,325 9,190 10,109 12,650 20,218 21,137 22,975 42,274 45,950 50,545 101,090 105,685 211,370 232,507 252,725 465,014 505,450 528,425 1,056,850 1,162,535 2,325,070 5,812,675 11,625,350

Collatz Trajectory (277 steps to reach 1)

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

11,625,350 5,812,675 17,438,026 8,719,013 26,157,040 13,078,520 6,539,260 3,269,630 1,634,815 4,904,446 2,452,223 7,356,670 3,678,335 11,035,006 5,517,503 16,552,510 8,276,255 24,828,766 12,414,383 37,243,150 18,621,575 55,864,726 27,932,363 83,797,090 41,898,545 125,695,636 62,847,818 31,423,909 94,271,728 47,135,864 23,567,932 11,783,966 5,891,983 17,675,950 8,837,975 26,513,926 13,256,963 39,770,890 19,885,445 59,656,336 29,828,168 14,914,084 7,457,042 3,728,521 11,185,564 5,592,782 2,796,391 8,389,174 4,194,587 12,583,762 6,291,881 18,875,644 9,437,822 4,718,911 14,156,734 7,078,367 21,235,102 10,617,551 31,852,654 15,926,327

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