λ
Ratio Atlas

2,327,313

3 × 73 × 10627
Deficient Odd Composite

2,327,313 factors as 3 × 73 × 10627. Its 8 positive divisors give a proper-divisor sum of 818,575, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 3 × 73 × 10627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,145,888
Proper Divisor Sum 818,575
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2327293 ← → #2327323

Radix Representation

Decimal 2327313
Binary 1000111000001100010001 (22 bits)
Octal 0o10701421
Hexadecimal 0x238311

Divisor Catalog (8)

1 3 73 219 10,627 31,881 775,771 2,327,313

Collatz Trajectory (192 steps to reach 1)

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

2,327,313 6,981,940 3,490,970 1,745,485 5,236,456 2,618,228 1,309,114 654,557 1,963,672 981,836 490,918 245,459 736,378 368,189 1,104,568 552,284 276,142 138,071 414,214 207,107 621,322 310,661 931,984 465,992 232,996 116,498 58,249 174,748 87,374 43,687 131,062 65,531 196,594 98,297 294,892 147,446 73,723 221,170 110,585 331,756 165,878 82,939 248,818 124,409 373,228 186,614 93,307 279,922 139,961 419,884 209,942 104,971 314,914 157,457 472,372 236,186 118,093 354,280 177,140 88,570

More profiles

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