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Atlas › Integer Profiles › Node 7,203,495

7,203,495

3 × 5 × 13 × 17 × 41 × 53
Deficient Odd Composite

7,203,495 factors as 3 × 5 × 13 × 17 × 41 × 53. Its 64 positive divisors give a proper-divisor sum of 6,513,369, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 17 × 41 × 53
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,716,864
Proper Divisor Sum 6,513,369
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7203491 ← → #7203503

Radix Representation

Decimal 7203495
Binary 11011011110101010100111 (23 bits)
Octal 0o33365247
Hexadecimal 0x6DEAA7

Divisor Catalog (60 of 64)

1 3 5 13 15 17 39 41 51 53 65 85 123 159 195 205 221 255 265 533 615 663 689 697 795 901 1,105 1,599 2,067 2,091 2,173 2,665 2,703 3,315 3,445 3,485 4,505 6,519 7,995 9,061 10,335 10,455 10,865 11,713 13,515 27,183 28,249 32,595 35,139 36,941 45,305 58,565 84,747 110,823 135,915 141,245 175,695 184,705 423,735 480,233

Collatz Trajectory (191 steps to reach 1)

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

7,203,495 21,610,486 10,805,243 32,415,730 16,207,865 48,623,596 24,311,798 12,155,899 36,467,698 18,233,849 54,701,548 27,350,774 13,675,387 41,026,162 20,513,081 61,539,244 30,769,622 15,384,811 46,154,434 23,077,217 69,231,652 34,615,826 17,307,913 51,923,740 25,961,870 12,980,935 38,942,806 19,471,403 58,414,210 29,207,105 87,621,316 43,810,658 21,905,329 65,715,988 32,857,994 16,428,997 49,286,992 24,643,496 12,321,748 6,160,874 3,080,437 9,241,312 4,620,656 2,310,328 1,155,164 577,582 288,791 866,374 433,187 1,299,562 649,781 1,949,344 974,672 487,336 243,668 121,834 60,917 182,752 91,376 45,688

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