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Atlas › Integer Profiles › Node 2,069,366

2,069,366

2 × 13 × 19 × 59 × 71
Deficient Even Composite

2,069,366 factors as 2 × 13 × 19 × 59 × 71. Its 32 positive divisors give a proper-divisor sum of 1,559,434, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2 × 13 × 19 × 59 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,628,800
Proper Divisor Sum 1,559,434
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2069351 ← → #2069377

Radix Representation

Decimal 2069366
Binary 111111001001101110110 (21 bits)
Octal 0o7711566
Hexadecimal 0x1F9376

Divisor Catalog (32)

1 2 13 19 26 38 59 71 118 142 247 494 767 923 1,121 1,349 1,534 1,846 2,242 2,698 4,189 8,378 14,573 17,537 29,146 35,074 54,457 79,591 108,914 159,182 1,034,683 2,069,366

Collatz Trajectory (135 steps to reach 1)

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

2,069,366 1,034,683 3,104,050 1,552,025 4,656,076 2,328,038 1,164,019 3,492,058 1,746,029 5,238,088 2,619,044 1,309,522 654,761 1,964,284 982,142 491,071 1,473,214 736,607 2,209,822 1,104,911 3,314,734 1,657,367 4,972,102 2,486,051 7,458,154 3,729,077 11,187,232 5,593,616 2,796,808 1,398,404 699,202 349,601 1,048,804 524,402 262,201 786,604 393,302 196,651 589,954 294,977 884,932 442,466 221,233 663,700 331,850 165,925 497,776 248,888 124,444 62,222 31,111 93,334 46,667 140,002 70,001 210,004 105,002 52,501 157,504 78,752

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