9,207,877

7 × 29 × 67 × 677

Starting at 9,207,877, the Collatz iteration reaches 1 after 194 steps. The first transition is 27623632; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 29 × 67 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,064,960

Proper Divisor Sum 1,857,083

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9207871 ← → #9207901

Radix Representation

Decimal	9207877
Binary	100011001000000001000101 (24 bits)
Octal	0o43100105
Hexadecimal	0x8C8045

Divisor Catalog (16)

1 7 29 67 203 469 677 1,943 4,739 13,601 19,633 45,359 137,431 317,513 1,315,411 9,207,877

Collatz Trajectory (194 steps to reach 1)

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

9,207,877 27,623,632 13,811,816 6,905,908 3,452,954 1,726,477 5,179,432 2,589,716 1,294,858 647,429 1,942,288 971,144 485,572 242,786 121,393 364,180 182,090 91,045 273,136 136,568 68,284 34,142 17,071 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740

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