7,534,612

2² × 31 × 60763

7,534,612 factors as 2^2 × 31 × 60763. Its 12 positive divisors give a proper-divisor sum of 6,076,524, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 60763

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,611,136

Proper Divisor Sum 6,076,524

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7534609 ← → #7534627

Radix Representation

Decimal	7534612
Binary	11100101111100000010100 (23 bits)
Octal	0o34574024
Hexadecimal	0x72F814

Divisor Catalog (12)

1 2 4 31 62 124 60,763 121,526 243,052 1,883,653 3,767,306 7,534,612

Collatz Trajectory (129 steps to reach 1)

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

7,534,612 3,767,306 1,883,653 5,650,960 2,825,480 1,412,740 706,370 353,185 1,059,556 529,778 264,889 794,668 397,334 198,667 596,002 298,001 894,004 447,002 223,501 670,504 335,252 167,626 83,813 251,440 125,720 62,860 31,430 15,715 47,146 23,573 70,720 35,360 17,680 8,840 4,420 2,210 1,105 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336

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