9,980,803

7 × 103 × 109 × 127

Starting at 9,980,803, the Collatz iteration reaches 1 after 137 steps. The first transition is 29942410; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 103 × 109 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,714,560

Proper Divisor Sum 1,733,757

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9980777 ← → #9980813

Radix Representation

Decimal	9980803
Binary	100110000100101110000011 (24 bits)
Octal	0o46045603
Hexadecimal	0x984B83

Divisor Catalog (16)

1 7 103 109 127 721 763 889 11,227 13,081 13,843 78,589 91,567 96,901 1,425,829 9,980,803

Collatz Trajectory (137 steps to reach 1)

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

9,980,803 29,942,410 14,971,205 44,913,616 22,456,808 11,228,404 5,614,202 2,807,101 8,421,304 4,210,652 2,105,326 1,052,663 3,157,990 1,578,995 4,736,986 2,368,493 7,105,480 3,552,740 1,776,370 888,185 2,664,556 1,332,278 666,139 1,998,418 999,209 2,997,628 1,498,814 749,407 2,248,222 1,124,111 3,372,334 1,686,167 5,058,502 2,529,251 7,587,754 3,793,877 11,381,632 5,690,816 2,845,408 1,422,704 711,352 355,676 177,838 88,919 266,758 133,379 400,138 200,069 600,208 300,104 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305

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