λ
Sigma Notebook

1,262,527

7 × 180361
Deficient Odd Composite

1,262,527 is odd and not a perfect square. Its factorization is 7 × 180361 and its 4 divisors sum to 1,442,896.

Prime Factor Structure

Factorization String 7 × 180361
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,442,896
Proper Divisor Sum 180,369
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1262519 ← → #1262543

Radix Representation

Decimal 1262527
Binary 100110100001110111111 (21 bits)
Octal 0o4641677
Hexadecimal 0x1343BF

Divisor Catalog (4)

1 7 180,361 1,262,527

Collatz Trajectory (103 steps to reach 1)

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

1,262,527 3,787,582 1,893,791 5,681,374 2,840,687 8,522,062 4,261,031 12,783,094 6,391,547 19,174,642 9,587,321 28,761,964 14,380,982 7,190,491 21,571,474 10,785,737 32,357,212 16,178,606 8,089,303 24,267,910 12,133,955 36,401,866 18,200,933 54,602,800 27,301,400 13,650,700 6,825,350 3,412,675 10,238,026 5,119,013 15,357,040 7,678,520 3,839,260 1,919,630 959,815 2,879,446 1,439,723 4,319,170 2,159,585 6,478,756 3,239,378 1,619,689 4,859,068 2,429,534 1,214,767 3,644,302 1,822,151 5,466,454 2,733,227 8,199,682 4,099,841 12,299,524 6,149,762 3,074,881 9,224,644 4,612,322 2,306,161 6,918,484 3,459,242 1,729,621

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