7,743,923

11 × 337 × 2089

Starting at 7,743,923, the Collatz iteration reaches 1 after 124 steps. The first transition is 23231770; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 337 × 2089

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,477,040

Proper Divisor Sum 733,117

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7743919 ← → #7743937

Radix Representation

Decimal	7743923
Binary	11101100010100110110011 (23 bits)
Octal	0o35424663
Hexadecimal	0x7629B3

Divisor Catalog (8)

1 11 337 2,089 3,707 22,979 703,993 7,743,923

Collatz Trajectory (124 steps to reach 1)

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

7,743,923 23,231,770 11,615,885 34,847,656 17,423,828 8,711,914 4,355,957 13,067,872 6,533,936 3,266,968 1,633,484 816,742 408,371 1,225,114 612,557 1,837,672 918,836 459,418 229,709 689,128 344,564 172,282 86,141 258,424 129,212 64,606 32,303 96,910 48,455 145,366 72,683 218,050 109,025 327,076 163,538 81,769 245,308 122,654 61,327 183,982 91,991 275,974 137,987 413,962 206,981 620,944 310,472 155,236 77,618 38,809 116,428 58,214 29,107 87,322 43,661 130,984 65,492 32,746 16,373 49,120

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