41,947,633

7 × 13 × 41 × 11243

41,947,633 factors as 7 × 13 × 41 × 11243. Its 16 positive divisors give a proper-divisor sum of 10,944,143, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 7 × 13 × 41 × 11243

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 52,891,776

Proper Divisor Sum 10,944,143

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #41947627 ← → #41947637

Radix Representation

Decimal	41947633
Binary	10100000000001000111110001 (26 bits)
Octal	0o240010761
Hexadecimal	0x28011F1

Divisor Catalog (16)

1 7 13 41 91 287 533 3,731 11,243 78,701 146,159 460,963 1,023,113 3,226,741 5,992,519 41,947,633

Collatz Trajectory (253 steps to reach 1)

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

41,947,633 125,842,900 62,921,450 31,460,725 94,382,176 47,191,088 23,595,544 11,797,772 5,898,886 2,949,443 8,848,330 4,424,165 13,272,496 6,636,248 3,318,124 1,659,062 829,531 2,488,594 1,244,297 3,732,892 1,866,446 933,223 2,799,670 1,399,835 4,199,506 2,099,753 6,299,260 3,149,630 1,574,815 4,724,446 2,362,223 7,086,670 3,543,335 10,630,006 5,315,003 15,945,010 7,972,505 23,917,516 11,958,758 5,979,379 17,938,138 8,969,069 26,907,208 13,453,604 6,726,802 3,363,401 10,090,204 5,045,102 2,522,551 7,567,654 3,783,827 11,351,482 5,675,741 17,027,224 8,513,612 4,256,806 2,128,403 6,385,210 3,192,605 9,577,816

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