9,980,908

2² × 7² × 50923

Starting at 9,980,908, the Collatz iteration reaches 1 after 176 steps. The first transition is 4990454; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 50923

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 20,318,676

Proper Divisor Sum 10,337,768

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9980899 ← → #9980911

Radix Representation

Decimal	9980908
Binary	100110000100101111101100 (24 bits)
Octal	0o46045754
Hexadecimal	0x984BEC

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 50,923 101,846 203,692 356,461 712,922 1,425,844 2,495,227 4,990,454 9,980,908

Collatz Trajectory (176 steps to reach 1)

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

9,980,908 4,990,454 2,495,227 7,485,682 3,742,841 11,228,524 5,614,262 2,807,131 8,421,394 4,210,697 12,632,092 6,316,046 3,158,023 9,474,070 4,737,035 14,211,106 7,105,553 21,316,660 10,658,330 5,329,165 15,987,496 7,993,748 3,996,874 1,998,437 5,995,312 2,997,656 1,498,828 749,414 374,707 1,124,122 562,061 1,686,184 843,092 421,546 210,773 632,320 316,160 158,080 79,040 39,520 19,760 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762

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