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4,153,472

27 × 37 × 877
Abundant Even Composite

4,153,472 factors as 2^7 × 37 × 877. Its 32 positive divisors give a proper-divisor sum of 4,354,348, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^7 × 37 × 877
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,507,820
Proper Divisor Sum 4,354,348
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4153469 ← → #4153477

Radix Representation

Decimal 4153472
Binary 1111110110000010000000 (22 bits)
Octal 0o17660200
Hexadecimal 0x3F6080

Divisor Catalog (32)

1 2 4 8 16 32 37 64 74 128 148 296 592 877 1,184 1,754 2,368 3,508 4,736 7,016 14,032 28,064 32,449 56,128 64,898 112,256 129,796 259,592 519,184 1,038,368 2,076,736 4,153,472

Collatz Trajectory (167 steps to reach 1)

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

4,153,472 2,076,736 1,038,368 519,184 259,592 129,796 64,898 32,449 97,348 48,674 24,337 73,012 36,506 18,253 54,760 27,380 13,690 6,845 20,536 10,268 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124

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