λ
Sequence Observatory

9,719,607

3 × 79 × 41011
Deficient Odd Composite

Starting at 9,719,607, the Collatz iteration reaches 1 after 114 steps. The first transition is 29158822; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 79 × 41011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,123,840
Proper Divisor Sum 3,404,233
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9719603 ← → #9719609

Radix Representation

Decimal 9719607
Binary 100101000100111100110111 (24 bits)
Octal 0o45047467
Hexadecimal 0x944F37

Divisor Catalog (8)

1 3 79 237 41,011 123,033 3,239,869 9,719,607

Collatz Trajectory (114 steps to reach 1)

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

9,719,607 29,158,822 14,579,411 43,738,234 21,869,117 65,607,352 32,803,676 16,401,838 8,200,919 24,602,758 12,301,379 36,904,138 18,452,069 55,356,208 27,678,104 13,839,052 6,919,526 3,459,763 10,379,290 5,189,645 15,568,936 7,784,468 3,892,234 1,946,117 5,838,352 2,919,176 1,459,588 729,794 364,897 1,094,692 547,346 273,673 821,020 410,510 205,255 615,766 307,883 923,650 461,825 1,385,476 692,738 346,369 1,039,108 519,554 259,777 779,332 389,666 194,833 584,500 292,250 146,125 438,376 219,188 109,594 54,797 164,392 82,196 41,098 20,549 61,648

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