41,975,072

2⁵ × 1311721

41,975,072 factors as 2^5 × 1311721. Its 12 positive divisors give a proper-divisor sum of 40,663,414, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^5 × 1311721

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 82,638,486

Proper Divisor Sum 40,663,414

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #41975071 ← → #41975077

Radix Representation

Decimal	41975072
Binary	10100000000111110100100000 (26 bits)
Octal	0o240076440
Hexadecimal	0x2807D20

Divisor Catalog (12)

1 2 4 8 16 32 1,311,721 2,623,442 5,246,884 10,493,768 20,987,536 41,975,072

Collatz Trajectory (152 steps to reach 1)

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

41,975,072 20,987,536 10,493,768 5,246,884 2,623,442 1,311,721 3,935,164 1,967,582 983,791 2,951,374 1,475,687 4,427,062 2,213,531 6,640,594 3,320,297 9,960,892 4,980,446 2,490,223 7,470,670 3,735,335 11,206,006 5,603,003 16,809,010 8,404,505 25,213,516 12,606,758 6,303,379 18,910,138 9,455,069 28,365,208 14,182,604 7,091,302 3,545,651 10,636,954 5,318,477 15,955,432 7,977,716 3,988,858 1,994,429 5,983,288 2,991,644 1,495,822 747,911 2,243,734 1,121,867 3,365,602 1,682,801 5,048,404 2,524,202 1,262,101 3,786,304 1,893,152 946,576 473,288 236,644 118,322 59,161 177,484 88,742 44,371

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