λ
Sequence Observatory

8,503,753

179 × 47507
Deficient Odd Composite

Starting at 8,503,753, the Collatz iteration reaches 1 after 137 steps. The first transition is 25511260; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 179 × 47507
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,551,440
Proper Divisor Sum 47,687
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8503751 ← → #8503777

Radix Representation

Decimal 8503753
Binary 100000011100000111001001 (24 bits)
Octal 0o40340711
Hexadecimal 0x81C1C9

Divisor Catalog (4)

1 179 47,507 8,503,753

Collatz Trajectory (137 steps to reach 1)

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

8,503,753 25,511,260 12,755,630 6,377,815 19,133,446 9,566,723 28,700,170 14,350,085 43,050,256 21,525,128 10,762,564 5,381,282 2,690,641 8,071,924 4,035,962 2,017,981 6,053,944 3,026,972 1,513,486 756,743 2,270,230 1,135,115 3,405,346 1,702,673 5,108,020 2,554,010 1,277,005 3,831,016 1,915,508 957,754 478,877 1,436,632 718,316 359,158 179,579 538,738 269,369 808,108 404,054 202,027 606,082 303,041 909,124 454,562 227,281 681,844 340,922 170,461 511,384 255,692 127,846 63,923 191,770 95,885 287,656 143,828 71,914 35,957 107,872 53,936

More profiles

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