6,234,072

2³ × 3 × 13² × 29 × 53

6,234,072 factors as 2^3 × 3 × 13^2 × 29 × 53. Its 96 positive divisors give a proper-divisor sum of 11,553,528, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13^2 × 29 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 17,787,600

Proper Divisor Sum 11,553,528

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6234061 ← → #6234077

Radix Representation

Decimal	6234072
Binary	10111110001111111011000 (23 bits)
Octal	0o27617730
Hexadecimal	0x5F1FD8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 12 13 24 26 29 39 52 53 58 78 87 104 106 116 156 159 169 174 212 232 312 318 338 348 377 424 507 636 676 689 696 754 1,014 1,131 1,272 1,352 1,378 1,508 1,537 2,028 2,067 2,262 2,756 3,016 3,074 4,056 4,134 4,524 4,611 4,901 5,512 6,148 8,268 8,957

Collatz Trajectory (152 steps to reach 1)

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

6,234,072 3,117,036 1,558,518 779,259 2,337,778 1,168,889 3,506,668 1,753,334 876,667 2,630,002 1,315,001 3,945,004 1,972,502 986,251 2,958,754 1,479,377 4,438,132 2,219,066 1,109,533 3,328,600 1,664,300 832,150 416,075 1,248,226 624,113 1,872,340 936,170 468,085 1,404,256 702,128 351,064 175,532 87,766 43,883 131,650 65,825 197,476 98,738 49,369 148,108 74,054 37,027 111,082 55,541 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592

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