λ
Sigma Notebook

1,301,503

7 × 17 × 10937
Deficient Odd Composite

1,301,503 is odd and not a perfect square. Its factorization is 7 × 17 × 10937 and its 8 divisors sum to 1,575,072.

Prime Factor Structure

Factorization String 7 × 17 × 10937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,575,072
Proper Divisor Sum 273,569
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #1301497 ← → #1301507

Radix Representation

Decimal 1301503
Binary 100111101101111111111 (21 bits)
Octal 0o4755777
Hexadecimal 0x13DBFF

Divisor Catalog (8)

1 7 17 119 10,937 76,559 185,929 1,301,503

Collatz Trajectory (129 steps to reach 1)

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

1,301,503 3,904,510 1,952,255 5,856,766 2,928,383 8,785,150 4,392,575 13,177,726 6,588,863 19,766,590 9,883,295 29,649,886 14,824,943 44,474,830 22,237,415 66,712,246 33,356,123 100,068,370 50,034,185 150,102,556 75,051,278 37,525,639 112,576,918 56,288,459 168,865,378 84,432,689 253,298,068 126,649,034 63,324,517 189,973,552 94,986,776 47,493,388 23,746,694 11,873,347 35,620,042 17,810,021 53,430,064 26,715,032 13,357,516 6,678,758 3,339,379 10,018,138 5,009,069 15,027,208 7,513,604 3,756,802 1,878,401 5,635,204 2,817,602 1,408,801 4,226,404 2,113,202 1,056,601 3,169,804 1,584,902 792,451 2,377,354 1,188,677 3,566,032 1,783,016

More profiles

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