2,746,413

3³ × 101719

2,746,413 has digital root 9. The neighboring primes are 2746409 and 2746417; its proper-divisor sum differs from the starting integer by -1,424,026.

Prime Factor Structure

Factorization String 3^3 × 101719

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,068,800

Proper Divisor Sum 1,322,387

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2746409 ← → #2746417

Radix Representation

Decimal	2746413
Binary	1010011110100000101101 (22 bits)
Octal	0o12364055
Hexadecimal	0x29E82D

Divisor Catalog (8)

1 3 9 27 101,719 305,157 915,471 2,746,413

Collatz Trajectory (107 steps to reach 1)

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

2,746,413 8,239,240 4,119,620 2,059,810 1,029,905 3,089,716 1,544,858 772,429 2,317,288 1,158,644 579,322 289,661 868,984 434,492 217,246 108,623 325,870 162,935 488,806 244,403 733,210 366,605 1,099,816 549,908 274,954 137,477 412,432 206,216 103,108 51,554 25,777 77,332 38,666 19,333 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428

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