9,670,791

3 × 13 × 19 × 31 × 421

Starting at 9,670,791, the Collatz iteration reaches 1 after 207 steps. The first transition is 29012374; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 19 × 31 × 421

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,124,480

Proper Divisor Sum 5,453,689

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9670789 ← → #9670811

Radix Representation

Decimal	9670791
Binary	100100111001000010000111 (24 bits)
Octal	0o44710207
Hexadecimal	0x939087

Divisor Catalog (32)

1 3 13 19 31 39 57 93 247 403 421 589 741 1,209 1,263 1,767 5,473 7,657 7,999 13,051 16,419 22,971 23,997 39,153 103,987 169,663 247,969 311,961 508,989 743,907 3,223,597 9,670,791

Collatz Trajectory (207 steps to reach 1)

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

9,670,791 29,012,374 14,506,187 43,518,562 21,759,281 65,277,844 32,638,922 16,319,461 48,958,384 24,479,192 12,239,596 6,119,798 3,059,899 9,179,698 4,589,849 13,769,548 6,884,774 3,442,387 10,327,162 5,163,581 15,490,744 7,745,372 3,872,686 1,936,343 5,809,030 2,904,515 8,713,546 4,356,773 13,070,320 6,535,160 3,267,580 1,633,790 816,895 2,450,686 1,225,343 3,676,030 1,838,015 5,514,046 2,757,023 8,271,070 4,135,535 12,406,606 6,203,303 18,609,910 9,304,955 27,914,866 13,957,433 41,872,300 20,936,150 10,468,075 31,404,226 15,702,113 47,106,340 23,553,170 11,776,585 35,329,756 17,664,878 8,832,439 26,497,318 13,248,659

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