2,704,507

13³ × 1231

For 2,704,507, the 8 positive divisors have a total of 2,932,160. Removing 2,704,507 leaves 227,653, which gives the deficient classification.

Prime Factor Structure

Factorization String 13^3 × 1231

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,932,160

Proper Divisor Sum 227,653

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2704469 ← → #2704519

Radix Representation

Decimal	2704507
Binary	1010010100010001111011 (22 bits)
Octal	0o12242173
Hexadecimal	0x29447B

Divisor Catalog (8)

1 13 169 1,231 2,197 16,003 208,039 2,704,507

Collatz Trajectory (275 steps to reach 1)

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

2,704,507 8,113,522 4,056,761 12,170,284 6,085,142 3,042,571 9,127,714 4,563,857 13,691,572 6,845,786 3,422,893 10,268,680 5,134,340 2,567,170 1,283,585 3,850,756 1,925,378 962,689 2,888,068 1,444,034 722,017 2,166,052 1,083,026 541,513 1,624,540 812,270 406,135 1,218,406 609,203 1,827,610 913,805 2,741,416 1,370,708 685,354 342,677 1,028,032 514,016 257,008 128,504 64,252 32,126 16,063 48,190 24,095 72,286 36,143 108,430 54,215 162,646 81,323 243,970 121,985 365,956 182,978 91,489 274,468 137,234 68,617 205,852 102,926

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