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Atlas › Integer Profiles › Node 1,766,776

1,766,776

23 × 11 × 17 × 1181
Abundant Even Composite

Starting at 1,766,776, the Collatz iteration reaches 1 after 251 steps. The first transition is 883388; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 17 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,829,680
Proper Divisor Sum 2,062,904
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1766773 ← → #1766801

Radix Representation

Decimal 1766776
Binary 110101111010101111000 (21 bits)
Octal 0o6572570
Hexadecimal 0x1AF578

Divisor Catalog (32)

1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1,181 1,496 2,362 4,724 9,448 12,991 20,077 25,982 40,154 51,964 80,308 103,928 160,616 220,847 441,694 883,388 1,766,776

Collatz Trajectory (251 steps to reach 1)

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

1,766,776 883,388 441,694 220,847 662,542 331,271 993,814 496,907 1,490,722 745,361 2,236,084 1,118,042 559,021 1,677,064 838,532 419,266 209,633 628,900 314,450 157,225 471,676 235,838 117,919 353,758 176,879 530,638 265,319 795,958 397,979 1,193,938 596,969 1,790,908 895,454 447,727 1,343,182 671,591 2,014,774 1,007,387 3,022,162 1,511,081 4,533,244 2,266,622 1,133,311 3,399,934 1,699,967 5,099,902 2,549,951 7,649,854 3,824,927 11,474,782 5,737,391 17,212,174 8,606,087 25,818,262 12,909,131 38,727,394 19,363,697 58,091,092 29,045,546 14,522,773

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