λ
Match Zalai

2,316,847

13 × 31 × 5749
Deficient Odd Composite

2,316,847 factors as 13 × 31 × 5749. Its 8 positive divisors give a proper-divisor sum of 259,153, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 13 × 31 × 5749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,576,000
Proper Divisor Sum 259,153
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2316823 ← → #2316863

Radix Representation

Decimal 2316847
Binary 1000110101101000101111 (22 bits)
Octal 0o10655057
Hexadecimal 0x235A2F

Divisor Catalog (8)

1 13 31 403 5,749 74,737 178,219 2,316,847

Collatz Trajectory (161 steps to reach 1)

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

2,316,847 6,950,542 3,475,271 10,425,814 5,212,907 15,638,722 7,819,361 23,458,084 11,729,042 5,864,521 17,593,564 8,796,782 4,398,391 13,195,174 6,597,587 19,792,762 9,896,381 29,689,144 14,844,572 7,422,286 3,711,143 11,133,430 5,566,715 16,700,146 8,350,073 25,050,220 12,525,110 6,262,555 18,787,666 9,393,833 28,181,500 14,090,750 7,045,375 21,136,126 10,568,063 31,704,190 15,852,095 47,556,286 23,778,143 71,334,430 35,667,215 107,001,646 53,500,823 160,502,470 80,251,235 240,753,706 120,376,853 361,130,560 180,565,280 90,282,640 45,141,320 22,570,660 11,285,330 5,642,665 16,927,996 8,463,998 4,231,999 12,695,998 6,347,999 19,043,998

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