λ
Math Directory

7,365,268

22 × 1841317
Deficient Even Composite

7,365,268 factors as 2^2 × 1841317. Its 6 positive divisors give a proper-divisor sum of 5,523,958, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^2 × 1841317
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 12,889,226
Proper Divisor Sum 5,523,958
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7365247 ← → #7365269

Radix Representation

Decimal 7365268
Binary 11100000110001010010100 (23 bits)
Octal 0o34061224
Hexadecimal 0x706294

Divisor Catalog (6)

1 2 4 1,841,317 3,682,634 7,365,268

Collatz Trajectory (266 steps to reach 1)

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

7,365,268 3,682,634 1,841,317 5,523,952 2,761,976 1,380,988 690,494 345,247 1,035,742 517,871 1,553,614 776,807 2,330,422 1,165,211 3,495,634 1,747,817 5,243,452 2,621,726 1,310,863 3,932,590 1,966,295 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

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