9,999,961

17 × 103 × 5711

Starting at 9,999,961, the Collatz iteration reaches 1 after 114 steps. The first transition is 29999884; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 103 × 5711

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,692,864

Proper Divisor Sum 692,903

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #9999943 ← → #9999971

Radix Representation

Decimal	9999961
Binary	100110001001011001011001 (24 bits)
Octal	0o46113131
Hexadecimal	0x989659

Divisor Catalog (8)

1 17 103 1,751 5,711 97,087 588,233 9,999,961

Collatz Trajectory (114 steps to reach 1)

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

9,999,961 29,999,884 14,999,942 7,499,971 22,499,914 11,249,957 33,749,872 16,874,936 8,437,468 4,218,734 2,109,367 6,328,102 3,164,051 9,492,154 4,746,077 14,238,232 7,119,116 3,559,558 1,779,779 5,339,338 2,669,669 8,009,008 4,004,504 2,002,252 1,001,126 500,563 1,501,690 750,845 2,252,536 1,126,268 563,134 281,567 844,702 422,351 1,267,054 633,527 1,900,582 950,291 2,850,874 1,425,437 4,276,312 2,138,156 1,069,078 534,539 1,603,618 801,809 2,405,428 1,202,714 601,357 1,804,072 902,036 451,018 225,509 676,528 338,264 169,132 84,566 42,283 126,850 63,425

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