841,527

3² × 93503

Starting at 841,527, the Collatz iteration reaches 1 after 105 steps. The first transition is 2524582; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 93503

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,215,552

Proper Divisor Sum 374,025

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #841459 ← → #841541

Radix Representation

Decimal	841527
Binary	11001101011100110111 (20 bits)
Octal	0o3153467
Hexadecimal	0xCD737

Divisor Catalog (6)

1 3 9 93,503 280,509 841,527

Collatz Trajectory (105 steps to reach 1)

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

841,527 2,524,582 1,262,291 3,786,874 1,893,437 5,680,312 2,840,156 1,420,078 710,039 2,130,118 1,065,059 3,195,178 1,597,589 4,792,768 2,396,384 1,198,192 599,096 299,548 149,774 74,887 224,662 112,331 336,994 168,497 505,492 252,746 126,373 379,120 189,560 94,780 47,390 23,695 71,086 35,543 106,630 53,315 159,946 79,973 239,920 119,960 59,980 29,990 14,995 44,986 22,493 67,480 33,740 16,870 8,435 25,306 12,653 37,960 18,980 9,490 4,745 14,236 7,118 3,559 10,678 5,339

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