7,757,838

2 × 3² × 11 × 39181

Starting at 7,757,838, the Collatz iteration reaches 1 after 292 steps. The first transition is 3878919; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 39181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,337,176

Proper Divisor Sum 10,579,338

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7757809 ← → #7757861

Radix Representation

Decimal	7757838
Binary	11101100110000000001110 (23 bits)
Octal	0o35460016
Hexadecimal	0x76600E

Divisor Catalog (24)

Collatz Trajectory (292 steps to reach 1)

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

7,757,838 3,878,919 11,636,758 5,818,379 17,455,138 8,727,569 26,182,708 13,091,354 6,545,677 19,637,032 9,818,516 4,909,258 2,454,629 7,363,888 3,681,944 1,840,972 920,486 460,243 1,380,730 690,365 2,071,096 1,035,548 517,774 258,887 776,662 388,331 1,164,994 582,497 1,747,492 873,746 436,873 1,310,620 655,310 327,655 982,966 491,483 1,474,450 737,225 2,211,676 1,105,838 552,919 1,658,758 829,379 2,488,138 1,244,069 3,732,208 1,866,104 933,052 466,526 233,263 699,790 349,895 1,049,686 524,843 1,574,530 787,265 2,361,796 1,180,898 590,449 1,771,348

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