λ
Prime Ledger

1,601,670

2 × 3 × 5 × 7 × 29 × 263
Abundant Even Composite

1,601,670 has the prime decomposition 2 × 3 × 5 × 7 × 29 × 263. Its 6 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 29 × 263
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,561,920
Proper Divisor Sum 2,960,250
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1601659 ← → #1601671

Radix Representation

Decimal 1601670
Binary 110000111000010000110 (21 bits)
Octal 0o6070206
Hexadecimal 0x187086

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 263 290 406 435 526 609 789 870 1,015 1,218 1,315 1,578 1,841 2,030 2,630 3,045 3,682 3,945 5,523 6,090 7,627 7,890 9,205 11,046 15,254 18,410 22,881 27,615 38,135 45,762 53,389 55,230 76,270 106,778 114,405 160,167 228,810 266,945

Collatz Trajectory (238 steps to reach 1)

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

1,601,670 800,835 2,402,506 1,201,253 3,603,760 1,801,880 900,940 450,470 225,235 675,706 337,853 1,013,560 506,780 253,390 126,695 380,086 190,043 570,130 285,065 855,196 427,598 213,799 641,398 320,699 962,098 481,049 1,443,148 721,574 360,787 1,082,362 541,181 1,623,544 811,772 405,886 202,943 608,830 304,415 913,246 456,623 1,369,870 684,935 2,054,806 1,027,403 3,082,210 1,541,105 4,623,316 2,311,658 1,155,829 3,467,488 1,733,744 866,872 433,436 216,718 108,359 325,078 162,539 487,618 243,809 731,428 365,714

More profiles

← Previous Integer #1,601,669 Browse Full Index Next Integer #1,601,671 →