λ
Ratio Atlas

8,312,807

2557 × 3251
Deficient Odd Composite

8,312,807 factors as 2557 × 3251. Its 4 positive divisors give a proper-divisor sum of 5,809, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2557 × 3251
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,318,616
Proper Divisor Sum 5,809
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8312789 ← → #8312849

Radix Representation

Decimal 8312807
Binary 11111101101011111100111 (23 bits)
Octal 0o37553747
Hexadecimal 0x7ED7E7

Divisor Catalog (4)

1 2,557 3,251 8,312,807

Collatz Trajectory (155 steps to reach 1)

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

8,312,807 24,938,422 12,469,211 37,407,634 18,703,817 56,111,452 28,055,726 14,027,863 42,083,590 21,041,795 63,125,386 31,562,693 94,688,080 47,344,040 23,672,020 11,836,010 5,918,005 17,754,016 8,877,008 4,438,504 2,219,252 1,109,626 554,813 1,664,440 832,220 416,110 208,055 624,166 312,083 936,250 468,125 1,404,376 702,188 351,094 175,547 526,642 263,321 789,964 394,982 197,491 592,474 296,237 888,712 444,356 222,178 111,089 333,268 166,634 83,317 249,952 124,976 62,488 31,244 15,622 7,811 23,434 11,717 35,152 17,576 8,788

More profiles

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