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Atlas › Integer Profiles › Node 2,367,992

2,367,992

23 × 11 × 71 × 379
Abundant Even Composite

2,367,992 factors as 2^3 × 11 × 71 × 379. Its 32 positive divisors give a proper-divisor sum of 2,556,808, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 71 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,924,800
Proper Divisor Sum 2,556,808
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2367983 ← → #2368013

Radix Representation

Decimal 2367992
Binary 1001000010000111111000 (22 bits)
Octal 0o11020770
Hexadecimal 0x2421F8

Divisor Catalog (32)

1 2 4 8 11 22 44 71 88 142 284 379 568 758 781 1,516 1,562 3,032 3,124 4,169 6,248 8,338 16,676 26,909 33,352 53,818 107,636 215,272 295,999 591,998 1,183,996 2,367,992

Collatz Trajectory (148 steps to reach 1)

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

2,367,992 1,183,996 591,998 295,999 887,998 443,999 1,331,998 665,999 1,997,998 998,999 2,996,998 1,498,499 4,495,498 2,247,749 6,743,248 3,371,624 1,685,812 842,906 421,453 1,264,360 632,180 316,090 158,045 474,136 237,068 118,534 59,267 177,802 88,901 266,704 133,352 66,676 33,338 16,669 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025

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