6,029,748

2² × 3³ × 31 × 1801

6,029,748 has digital root 9. The neighboring primes are 6029743 and 6029759; its proper-divisor sum differs from the starting integer by 4,086,424.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 31 × 1801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,145,920

Proper Divisor Sum 10,116,172

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6029743 ← → #6029759

Radix Representation

Decimal	6029748
Binary	10111000000000110110100 (23 bits)
Octal	0o27000664
Hexadecimal	0x5C01B4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1,116 1,674 1,801 3,348 3,602 5,403 7,204 10,806 16,209 21,612 32,418 48,627 55,831 64,836 97,254 111,662 167,493 194,508 223,324 334,986 502,479 669,972 1,004,958 1,507,437 2,009,916 3,014,874 6,029,748

Collatz Trajectory (139 steps to reach 1)

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

6,029,748 3,014,874 1,507,437 4,522,312 2,261,156 1,130,578 565,289 1,695,868 847,934 423,967 1,271,902 635,951 1,907,854 953,927 2,861,782 1,430,891 4,292,674 2,146,337 6,439,012 3,219,506 1,609,753 4,829,260 2,414,630 1,207,315 3,621,946 1,810,973 5,432,920 2,716,460 1,358,230 679,115 2,037,346 1,018,673 3,056,020 1,528,010 764,005 2,292,016 1,146,008 573,004 286,502 143,251 429,754 214,877 644,632 322,316 161,158 80,579 241,738 120,869 362,608 181,304 90,652 45,326 22,663 67,990 33,995 101,986 50,993 152,980 76,490 38,245

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