2,742,410

2 × 5 × 11 × 107 × 233

2,742,410 has digital root 2. The neighboring primes are 2742409 and 2742427; its proper-divisor sum differs from the starting integer by -26,068.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 107 × 233

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,458,752

Proper Divisor Sum 2,716,342

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2742409 ← → #2742427

Radix Representation

Decimal	2742410
Binary	1010011101100010001010 (22 bits)
Octal	0o12354212
Hexadecimal	0x29D88A

Divisor Catalog (32)

1 2 5 10 11 22 55 107 110 214 233 466 535 1,070 1,165 1,177 2,330 2,354 2,563 5,126 5,885 11,770 12,815 24,931 25,630 49,862 124,655 249,310 274,241 548,482 1,371,205 2,742,410

Collatz Trajectory (55 steps to reach 1)

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

2,742,410 1,371,205 4,113,616 2,056,808 1,028,404 514,202 257,101 771,304 385,652 192,826 96,413 289,240 144,620 72,310 36,155 108,466 54,233 162,700 81,350 40,675 122,026 61,013 183,040 91,520 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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