1,762,558

2 × 7 × 125897

Starting at 1,762,558, the Collatz iteration reaches 1 after 171 steps. The first transition is 881279; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 125897

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,021,552

Proper Divisor Sum 1,258,994

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1762531 ← → #1762561

Radix Representation

Decimal	1762558
Binary	110101110010011111110 (21 bits)
Octal	0o6562376
Hexadecimal	0x1AE4FE

Divisor Catalog (8)

1 2 7 14 125,897 251,794 881,279 1,762,558

Collatz Trajectory (171 steps to reach 1)

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

1,762,558 881,279 2,643,838 1,321,919 3,965,758 1,982,879 5,948,638 2,974,319 8,922,958 4,461,479 13,384,438 6,692,219 20,076,658 10,038,329 30,114,988 15,057,494 7,528,747 22,586,242 11,293,121 33,879,364 16,939,682 8,469,841 25,409,524 12,704,762 6,352,381 19,057,144 9,528,572 4,764,286 2,382,143 7,146,430 3,573,215 10,719,646 5,359,823 16,079,470 8,039,735 24,119,206 12,059,603 36,178,810 18,089,405 54,268,216 27,134,108 13,567,054 6,783,527 20,350,582 10,175,291 30,525,874 15,262,937 45,788,812 22,894,406 11,447,203 34,341,610 17,170,805 51,512,416 25,756,208 12,878,104 6,439,052 3,219,526 1,609,763 4,829,290 2,414,645

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