λ
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Atlas › Integer Profiles › Node 9,303,312

9,303,312

24 × 3 × 19 × 1012
Abundant Even Composite

9,303,312 factors as 2^4 × 3 × 19 × 101^2. Its 60 positive divisors give a proper-divisor sum of 16,248,128, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 101^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 25,551,440
Proper Divisor Sum 16,248,128
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9303289 ← → #9303319

Radix Representation

Decimal 9303312
Binary 100011011111010100010000 (24 bits)
Octal 0o43372420
Hexadecimal 0x8DF510

Divisor Catalog (60)

1 2 3 4 6 8 12 16 19 24 38 48 57 76 101 114 152 202 228 303 304 404 456 606 808 912 1,212 1,616 1,919 2,424 3,838 4,848 5,757 7,676 10,201 11,514 15,352 20,402 23,028 30,603 30,704 40,804 46,056 61,206 81,608 92,112 122,412 163,216 193,819 244,824 387,638 489,648 581,457 775,276 1,162,914 1,550,552 2,325,828 3,101,104 4,651,656 9,303,312

Collatz Trajectory (269 steps to reach 1)

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

9,303,312 4,651,656 2,325,828 1,162,914 581,457 1,744,372 872,186 436,093 1,308,280 654,140 327,070 163,535 490,606 245,303 735,910 367,955 1,103,866 551,933 1,655,800 827,900 413,950 206,975 620,926 310,463 931,390 465,695 1,397,086 698,543 2,095,630 1,047,815 3,143,446 1,571,723 4,715,170 2,357,585 7,072,756 3,536,378 1,768,189 5,304,568 2,652,284 1,326,142 663,071 1,989,214 994,607 2,983,822 1,491,911 4,475,734 2,237,867 6,713,602 3,356,801 10,070,404 5,035,202 2,517,601 7,552,804 3,776,402 1,888,201 5,664,604 2,832,302 1,416,151 4,248,454 2,124,227

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