λ
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411,700

22 × 52 × 23 × 179
Abundant Even Composite

411,700 factors as 2^2 × 5^2 × 23 × 179. Its 36 positive divisors give a proper-divisor sum of 525,740, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 23 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 937,440
Proper Divisor Sum 525,740
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #411683 ← → #411703

Radix Representation

Decimal 411700
Binary 1100100100000110100 (19 bits)
Octal 0o1444064
Hexadecimal 0x64834

Divisor Catalog (36)

1 2 4 5 10 20 23 25 46 50 92 100 115 179 230 358 460 575 716 895 1,150 1,790 2,300 3,580 4,117 4,475 8,234 8,950 16,468 17,900 20,585 41,170 82,340 102,925 205,850 411,700

Collatz Trajectory (68 steps to reach 1)

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

411,700 205,850 102,925 308,776 154,388 77,194 38,597 115,792 57,896 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13

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