λ
Sequence Observatory

3,150,015

3 × 5 × 11 × 17 × 1123
Deficient Odd Composite

Starting at 3,150,015, the Collatz iteration reaches 1 after 102 steps. The first transition is 9450046; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17 × 1123
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,826,816
Proper Divisor Sum 2,676,801
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3150001 ← → #3150031

Radix Representation

Decimal 3150015
Binary 1100000001000010111111 (22 bits)
Octal 0o14010277
Hexadecimal 0x3010BF

Divisor Catalog (32)

1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 1,123 2,805 3,369 5,615 12,353 16,845 19,091 37,059 57,273 61,765 95,455 185,295 210,001 286,365 630,003 1,050,005 3,150,015

Collatz Trajectory (102 steps to reach 1)

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

3,150,015 9,450,046 4,725,023 14,175,070 7,087,535 21,262,606 10,631,303 31,893,910 15,946,955 47,840,866 23,920,433 71,761,300 35,880,650 17,940,325 53,820,976 26,910,488 13,455,244 6,727,622 3,363,811 10,091,434 5,045,717 15,137,152 7,568,576 3,784,288 1,892,144 946,072 473,036 236,518 118,259 354,778 177,389 532,168 266,084 133,042 66,521 199,564 99,782 49,891 149,674 74,837 224,512 112,256 56,128 28,064 14,032 7,016 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557

More profiles

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