6,090,348

2² × 3 × 11 × 29 × 37 × 43

6,090,348 factors as 2^2 × 3 × 11 × 29 × 37 × 43. Its 96 positive divisors give a proper-divisor sum of 10,763,412, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 29 × 37 × 43

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 16,853,760

Proper Divisor Sum 10,763,412

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6090299 ← → #6090349

Radix Representation

Decimal	6090348
Binary	10111001110111001101100 (23 bits)
Octal	0o27167154
Hexadecimal	0x5CEE6C

Divisor Catalog (60 of 96)

1 2 3 4 6 11 12 22 29 33 37 43 44 58 66 74 86 87 111 116 129 132 148 172 174 222 258 319 348 407 444 473 516 638 814 946 957 1,073 1,221 1,247 1,276 1,419 1,591 1,628 1,892 1,914 2,146 2,442 2,494 2,838 3,182 3,219 3,741 3,828 4,292 4,773 4,884 4,988 5,676 6,364

Collatz Trajectory (227 steps to reach 1)

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

6,090,348 3,045,174 1,522,587 4,567,762 2,283,881 6,851,644 3,425,822 1,712,911 5,138,734 2,569,367 7,708,102 3,854,051 11,562,154 5,781,077 17,343,232 8,671,616 4,335,808 2,167,904 1,083,952 541,976 270,988 135,494 67,747 203,242 101,621 304,864 152,432 76,216 38,108 19,054 9,527 28,582 14,291 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821

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