1,620,814

2 × 13 × 17 × 19 × 193

Starting at 1,620,814, the Collatz iteration reaches 1 after 114 steps. The first transition is 810407; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 19 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,933,280

Proper Divisor Sum 1,312,466

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1620811 ← → #1620823

Radix Representation

Decimal	1620814
Binary	110001011101101001110 (21 bits)
Octal	0o6135516
Hexadecimal	0x18BB4E

Divisor Catalog (32)

1 2 13 17 19 26 34 38 193 221 247 323 386 442 494 646 2,509 3,281 3,667 4,199 5,018 6,562 7,334 8,398 42,653 47,671 62,339 85,306 95,342 124,678 810,407 1,620,814

Collatz Trajectory (114 steps to reach 1)

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

1,620,814 810,407 2,431,222 1,215,611 3,646,834 1,823,417 5,470,252 2,735,126 1,367,563 4,102,690 2,051,345 6,154,036 3,077,018 1,538,509 4,615,528 2,307,764 1,153,882 576,941 1,730,824 865,412 432,706 216,353 649,060 324,530 162,265 486,796 243,398 121,699 365,098 182,549 547,648 273,824 136,912 68,456 34,228 17,114 8,557 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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