λ
Match Zalai

2,707,293

3 × 53 × 17027
Deficient Odd Composite

2,707,293 factors as 3 × 53 × 17027. Its 8 positive divisors give a proper-divisor sum of 970,755, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 3 × 53 × 17027
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,678,048
Proper Divisor Sum 970,755
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2707283 ← → #2707297

Radix Representation

Decimal 2707293
Binary 1010010100111101011101 (22 bits)
Octal 0o12247535
Hexadecimal 0x294F5D

Divisor Catalog (8)

1 3 53 159 17,027 51,081 902,431 2,707,293

Collatz Trajectory (112 steps to reach 1)

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

2,707,293 8,121,880 4,060,940 2,030,470 1,015,235 3,045,706 1,522,853 4,568,560 2,284,280 1,142,140 571,070 285,535 856,606 428,303 1,284,910 642,455 1,927,366 963,683 2,891,050 1,445,525 4,336,576 2,168,288 1,084,144 542,072 271,036 135,518 67,759 203,278 101,639 304,918 152,459 457,378 228,689 686,068 343,034 171,517 514,552 257,276 128,638 64,319 192,958 96,479 289,438 144,719 434,158 217,079 651,238 325,619 976,858 488,429 1,465,288 732,644 366,322 183,161 549,484 274,742 137,371 412,114 206,057 618,172

More profiles

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