λ
Sequence Observatory

9,902,107

9902107
Deficient Odd Prime

Starting at 9,902,107, the Collatz iteration reaches 1 after 313 steps. The first transition is 29706322; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 9902107
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,902,108
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9902099 ← → #9902117

Radix Representation

Decimal 9902107
Binary 100101110001100000011011 (24 bits)
Octal 0o45614033
Hexadecimal 0x97181B

Divisor Catalog (2)

1 9,902,107

Collatz Trajectory (313 steps to reach 1)

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

9,902,107 29,706,322 14,853,161 44,559,484 22,279,742 11,139,871 33,419,614 16,709,807 50,129,422 25,064,711 75,194,134 37,597,067 112,791,202 56,395,601 169,186,804 84,593,402 42,296,701 126,890,104 63,445,052 31,722,526 15,861,263 47,583,790 23,791,895 71,375,686 35,687,843 107,063,530 53,531,765 160,595,296 80,297,648 40,148,824 20,074,412 10,037,206 5,018,603 15,055,810 7,527,905 22,583,716 11,291,858 5,645,929 16,937,788 8,468,894 4,234,447 12,703,342 6,351,671 19,055,014 9,527,507 28,582,522 14,291,261 42,873,784 21,436,892 10,718,446 5,359,223 16,077,670 8,038,835 24,116,506 12,058,253 36,174,760 18,087,380 9,043,690 4,521,845 13,565,536

More profiles

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