411,488

2⁵ × 7 × 11 × 167

Starting at 411,488, the Collatz iteration reaches 1 after 174 steps. The first transition is 205744; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 11 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,016,064

Proper Divisor Sum 604,576

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #411479 ← → #411491

Radix Representation

Decimal	411488
Binary	1100100011101100000 (19 bits)
Octal	0o1443540
Hexadecimal	0x64760

Divisor Catalog (48)

1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 167 176 224 308 334 352 616 668 1,169 1,232 1,336 1,837 2,338 2,464 2,672 3,674 4,676 5,344 7,348 9,352 12,859 14,696 18,704 25,718 29,392 37,408 51,436 58,784 102,872 205,744 411,488

Collatz Trajectory (174 steps to reach 1)

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

411,488 205,744 102,872 51,436 25,718 12,859 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73

← Previous Integer #411,487 Browse Full Index Next Integer #411,489 →