λ
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7,812,465

3 × 5 × 31 × 53 × 317
Deficient Odd Composite

7,812,465 factors as 3 × 5 × 31 × 53 × 317. Its 32 positive divisors give a proper-divisor sum of 5,375,631, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 53 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,188,096
Proper Divisor Sum 5,375,631
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7812463 ← → #7812487

Radix Representation

Decimal 7812465
Binary 11101110011010101110001 (23 bits)
Octal 0o35632561
Hexadecimal 0x773571

Divisor Catalog (32)

1 3 5 15 31 53 93 155 159 265 317 465 795 951 1,585 1,643 4,755 4,929 8,215 9,827 16,801 24,645 29,481 49,135 50,403 84,005 147,405 252,015 520,831 1,562,493 2,604,155 7,812,465

Collatz Trajectory (248 steps to reach 1)

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

7,812,465 23,437,396 11,718,698 5,859,349 17,578,048 8,789,024 4,394,512 2,197,256 1,098,628 549,314 274,657 823,972 411,986 205,993 617,980 308,990 154,495 463,486 231,743 695,230 347,615 1,042,846 521,423 1,564,270 782,135 2,346,406 1,173,203 3,519,610 1,759,805 5,279,416 2,639,708 1,319,854 659,927 1,979,782 989,891 2,969,674 1,484,837 4,454,512 2,227,256 1,113,628 556,814 278,407 835,222 417,611 1,252,834 626,417 1,879,252 939,626 469,813 1,409,440 704,720 352,360 176,180 88,090 44,045 132,136 66,068 33,034 16,517 49,552

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