λ
Sequence Observatory

7,724,859

3 × 31 × 83063
Deficient Odd Composite

Starting at 7,724,859, the Collatz iteration reaches 1 after 173 steps. The first transition is 23174578; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 83063
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,632,192
Proper Divisor Sum 2,907,333
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7724839 ← → #7724861

Radix Representation

Decimal 7724859
Binary 11101011101111100111011 (23 bits)
Octal 0o35357473
Hexadecimal 0x75DF3B

Divisor Catalog (8)

1 3 31 93 83,063 249,189 2,574,953 7,724,859

Collatz Trajectory (173 steps to reach 1)

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

7,724,859 23,174,578 11,587,289 34,761,868 17,380,934 8,690,467 26,071,402 13,035,701 39,107,104 19,553,552 9,776,776 4,888,388 2,444,194 1,222,097 3,666,292 1,833,146 916,573 2,749,720 1,374,860 687,430 343,715 1,031,146 515,573 1,546,720 773,360 386,680 193,340 96,670 48,335 145,006 72,503 217,510 108,755 326,266 163,133 489,400 244,700 122,350 61,175 183,526 91,763 275,290 137,645 412,936 206,468 103,234 51,617 154,852 77,426 38,713 116,140 58,070 29,035 87,106 43,553 130,660 65,330 32,665 97,996 48,998

More profiles

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