3,013,524

2² × 3⁴ × 71 × 131

3,013,524 has digital root 9. The neighboring primes are 3013519 and 3013531; its proper-divisor sum differs from the starting integer by 2,022,840.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 71 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 8,049,888

Proper Divisor Sum 5,036,364

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3013519 ← → #3013531

Radix Representation

Decimal	3013524
Binary	1011011111101110010100 (22 bits)
Octal	0o13375624
Hexadecimal	0x2DFB94

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 54 71 81 108 131 142 162 213 262 284 324 393 426 524 639 786 852 1,179 1,278 1,572 1,917 2,358 2,556 3,537 3,834 4,716 5,751 7,074 7,668 9,301 10,611 11,502 14,148 18,602 21,222 23,004 27,903 37,204 42,444 55,806 83,709 111,612 167,418 251,127 334,836 502,254 753,381 1,004,508 1,506,762 3,013,524

Collatz Trajectory (133 steps to reach 1)

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

3,013,524 1,506,762 753,381 2,260,144 1,130,072 565,036 282,518 141,259 423,778 211,889 635,668 317,834 158,917 476,752 238,376 119,188 59,594 29,797 89,392 44,696 22,348 11,174 5,587 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190

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