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Atlas › Integer Profiles › Node 11,961,376

11,961,376

25 × 7 × 67 × 797
Abundant Even Composite

11,961,376 factors as 2^5 × 7 × 67 × 797. Its 48 positive divisors give a proper-divisor sum of 15,387,680, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 67 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,349,056
Proper Divisor Sum 15,387,680
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #11961373 ← → #11961377

Radix Representation

Decimal 11961376
Binary 101101101000010000100000 (24 bits)
Octal 0o55502040
Hexadecimal 0xB68420

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 797 938 1,072 1,594 1,876 2,144 3,188 3,752 5,579 6,376 7,504 11,158 12,752 15,008 22,316 25,504 44,632 53,399 89,264 106,798 178,528 213,596 373,793 427,192 747,586 854,384 1,495,172 1,708,768 2,990,344 5,980,688 11,961,376

Collatz Trajectory (140 steps to reach 1)

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

11,961,376 5,980,688 2,990,344 1,495,172 747,586 373,793 1,121,380 560,690 280,345 841,036 420,518 210,259 630,778 315,389 946,168 473,084 236,542 118,271 354,814 177,407 532,222 266,111 798,334 399,167 1,197,502 598,751 1,796,254 898,127 2,694,382 1,347,191 4,041,574 2,020,787 6,062,362 3,031,181 9,093,544 4,546,772 2,273,386 1,136,693 3,410,080 1,705,040 852,520 426,260 213,130 106,565 319,696 159,848 79,924 39,962 19,981 59,944 29,972 14,986 7,493 22,480 11,240 5,620 2,810 1,405 4,216 2,108

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