920,430

2 × 3³ × 5 × 7 × 487

Starting at 920,430, the Collatz iteration reaches 1 after 276 steps. The first transition is 460215; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 487

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,810,880

Proper Divisor Sum 1,890,450

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #920419 ← → #920441

Radix Representation

Decimal	920430
Binary	11100000101101101110 (20 bits)
Octal	0o3405556
Hexadecimal	0xE0B6E

Divisor Catalog (60 of 64)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 487 630 945 974 1,461 1,890 2,435 2,922 3,409 4,383 4,870 6,818 7,305 8,766 10,227 13,149 14,610 17,045 20,454 21,915 26,298 30,681 34,090 43,830 51,135 61,362 65,745 92,043 102,270 131,490 153,405

Collatz Trajectory (276 steps to reach 1)

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

920,430 460,215 1,380,646 690,323 2,070,970 1,035,485 3,106,456 1,553,228 776,614 388,307 1,164,922 582,461 1,747,384 873,692 436,846 218,423 655,270 327,635 982,906 491,453 1,474,360 737,180 368,590 184,295 552,886 276,443 829,330 414,665 1,243,996 621,998 310,999 932,998 466,499 1,399,498 699,749 2,099,248 1,049,624 524,812 262,406 131,203 393,610 196,805 590,416 295,208 147,604 73,802 36,901 110,704 55,352 27,676 13,838 6,919 20,758 10,379 31,138 15,569 46,708 23,354 11,677 35,032

← Previous Integer #920,429 Browse Full Index Next Integer #920,431 →