52,542,004

2² × 131 × 100271

52,542,004 factors as 2^2 × 131 × 100271. Its 12 positive divisors give a proper-divisor sum of 40,109,324, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 131 × 100271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 92,651,328

Proper Divisor Sum 40,109,324

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #52541963 ← → #52542013

Radix Representation

Decimal	52542004
Binary	11001000011011101000110100 (26 bits)
Octal	0o310335064
Hexadecimal	0x321BA34

Divisor Catalog (12)

1 2 4 131 262 524 100,271 200,542 401,084 13,135,501 26,271,002 52,542,004

Collatz Trajectory (88 steps to reach 1)

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

52,542,004 26,271,002 13,135,501 39,406,504 19,703,252 9,851,626 4,925,813 14,777,440 7,388,720 3,694,360 1,847,180 923,590 461,795 1,385,386 692,693 2,078,080 1,039,040 519,520 259,760 129,880 64,940 32,470 16,235 48,706 24,353 73,060 36,530 18,265 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43

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