3,335,007

3 × 13 × 85513

3,335,007 factors as 3 × 13 × 85513. Its 8 positive divisors give a proper-divisor sum of 1,453,777, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3 × 13 × 85513

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,788,784

Proper Divisor Sum 1,453,777

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3334999 ← → #3335021

Radix Representation

Decimal	3335007
Binary	1100101110001101011111 (22 bits)
Octal	0o14561537
Hexadecimal	0x32E35F

Divisor Catalog (8)

1 3 13 39 85,513 256,539 1,111,669 3,335,007

Collatz Trajectory (115 steps to reach 1)

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

3,335,007 10,005,022 5,002,511 15,007,534 7,503,767 22,511,302 11,255,651 33,766,954 16,883,477 50,650,432 25,325,216 12,662,608 6,331,304 3,165,652 1,582,826 791,413 2,374,240 1,187,120 593,560 296,780 148,390 74,195 222,586 111,293 333,880 166,940 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527

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