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Atlas › Integer Profiles › Node 3,676,959

3,676,959

32 × 11 × 13 × 2857
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 2857
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,241,872
Proper Divisor Sum 2,564,913
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3676957 ← → #3676963

Radix Representation

Decimal 3676959
Binary 1110000001101100011111 (22 bits)
Octal 0o16015437
Hexadecimal 0x381B1F

Divisor Catalog (24)

1 3 9 11 13 33 39 99 117 143 429 1,287 2,857 8,571 25,713 31,427 37,141 94,281 111,423 282,843 334,269 408,551 1,225,653 3,676,959

Collatz Trajectory (216 steps to reach 1)

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

3,676,959 11,030,878 5,515,439 16,546,318 8,273,159 24,819,478 12,409,739 37,229,218 18,614,609 55,843,828 27,921,914 13,960,957 41,882,872 20,941,436 10,470,718 5,235,359 15,706,078 7,853,039 23,559,118 11,779,559 35,338,678 17,669,339 53,008,018 26,504,009 79,512,028 39,756,014 19,878,007 59,634,022 29,817,011 89,451,034 44,725,517 134,176,552 67,088,276 33,544,138 16,772,069 50,316,208 25,158,104 12,579,052 6,289,526 3,144,763 9,434,290 4,717,145 14,151,436 7,075,718 3,537,859 10,613,578 5,306,789 15,920,368 7,960,184 3,980,092 1,990,046 995,023 2,985,070 1,492,535 4,477,606 2,238,803 6,716,410 3,358,205 10,074,616 5,037,308

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