λ
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Atlas › Integer Profiles › Node 11,624,430

11,624,430

2 × 3 × 5 × 17 × 23 × 991
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 23 × 991
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 30,855,168
Proper Divisor Sum 19,230,738
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11624429 ← → #11624441

Radix Representation

Decimal 11624430
Binary 101100010101111111101110 (24 bits)
Octal 0o54257756
Hexadecimal 0xB15FEE

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 991 1,173 1,955 1,982 2,346 2,973 3,910 4,955 5,865 5,946 9,910 11,730 14,865 16,847 22,793 29,730 33,694 45,586 50,541 68,379 84,235 101,082 113,965 136,758 168,470 227,930 252,705 341,895 387,481 505,410 683,790 774,962 1,162,443 1,937,405

Collatz Trajectory (246 steps to reach 1)

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

11,624,430 5,812,215 17,436,646 8,718,323 26,154,970 13,077,485 39,232,456 19,616,228 9,808,114 4,904,057 14,712,172 7,356,086 3,678,043 11,034,130 5,517,065 16,551,196 8,275,598 4,137,799 12,413,398 6,206,699 18,620,098 9,310,049 27,930,148 13,965,074 6,982,537 20,947,612 10,473,806 5,236,903 15,710,710 7,855,355 23,566,066 11,783,033 35,349,100 17,674,550 8,837,275 26,511,826 13,255,913 39,767,740 19,883,870 9,941,935 29,825,806 14,912,903 44,738,710 22,369,355 67,108,066 33,554,033 100,662,100 50,331,050 25,165,525 75,496,576 37,748,288 18,874,144 9,437,072 4,718,536 2,359,268 1,179,634 589,817 1,769,452 884,726 442,363

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