λ
Harmonic Matrix

3,342,713

11 × 229 × 1327
Deficient Odd Composite

3,342,713 has digital root 5. The neighboring primes are 3342709 and 3342719; its proper-divisor sum differs from the starting integer by -3,020,146.

Prime Factor Structure

Factorization String 11 × 229 × 1327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,665,280
Proper Divisor Sum 322,567
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3342709 ← → #3342719

Radix Representation

Decimal 3342713
Binary 1100110000000101111001 (22 bits)
Octal 0o14600571
Hexadecimal 0x330179

Divisor Catalog (8)

1 11 229 1,327 2,519 14,597 303,883 3,342,713

Collatz Trajectory (190 steps to reach 1)

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

3,342,713 10,028,140 5,014,070 2,507,035 7,521,106 3,760,553 11,281,660 5,640,830 2,820,415 8,461,246 4,230,623 12,691,870 6,345,935 19,037,806 9,518,903 28,556,710 14,278,355 42,835,066 21,417,533 64,252,600 32,126,300 16,063,150 8,031,575 24,094,726 12,047,363 36,142,090 18,071,045 54,213,136 27,106,568 13,553,284 6,776,642 3,388,321 10,164,964 5,082,482 2,541,241 7,623,724 3,811,862 1,905,931 5,717,794 2,858,897 8,576,692 4,288,346 2,144,173 6,432,520 3,216,260 1,608,130 804,065 2,412,196 1,206,098 603,049 1,809,148 904,574 452,287 1,356,862 678,431 2,035,294 1,017,647 3,052,942 1,526,471 4,579,414

More profiles

← Previous Integer #3,342,712 Browse Full Index Next Integer #3,342,714 →