λ
Prime Ledger

6,028,440

23 × 3 × 5 × 11 × 4567
Abundant Even Composite

6,028,440 has the prime decomposition 2^3 × 3 × 5 × 11 × 4567. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 4567
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,733,760
Proper Divisor Sum 13,705,320
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6028427 ← → #6028457

Radix Representation

Decimal 6028440
Binary 10110111111110010011000 (23 bits)
Octal 0o26776230
Hexadecimal 0x5BFC98

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1,320 4,567 9,134 13,701 18,268 22,835 27,402 36,536 45,670 50,237 54,804 68,505 91,340 100,474 109,608 137,010 150,711 182,680 200,948 251,185 274,020 301,422 401,896 502,370 548,040 602,844 753,555 1,004,740 1,205,688

Collatz Trajectory (64 steps to reach 1)

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

6,028,440 3,014,220 1,507,110 753,555 2,260,666 1,130,333 3,391,000 1,695,500 847,750 423,875 1,271,626 635,813 1,907,440 953,720 476,860 238,430 119,215 357,646 178,823 536,470 268,235 804,706 402,353 1,207,060 603,530 301,765 905,296 452,648 226,324 113,162 56,581 169,744 84,872 42,436 21,218 10,609 31,828 15,914 7,957 23,872 11,936 5,968 2,984 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5

More profiles

← Previous Integer #6,028,439 Browse Full Index Next Integer #6,028,441 →