1,416,200

2³ × 5² × 73 × 97

Starting at 1,416,200, the Collatz iteration reaches 1 after 124 steps. The first transition is 708100; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 73 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,372,180

Proper Divisor Sum 1,955,980

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #1416199 ← → #1416209

Radix Representation

Decimal	1416200
Binary	101011001110000001000 (21 bits)
Octal	0o5316010
Hexadecimal	0x159C08

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 73 97 100 146 194 200 292 365 388 485 584 730 776 970 1,460 1,825 1,940 2,425 2,920 3,650 3,880 4,850 7,081 7,300 9,700 14,162 14,600 19,400 28,324 35,405 56,648 70,810 141,620 177,025 283,240 354,050 708,100 1,416,200

Collatz Trajectory (124 steps to reach 1)

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

1,416,200 708,100 354,050 177,025 531,076 265,538 132,769 398,308 199,154 99,577 298,732 149,366 74,683 224,050 112,025 336,076 168,038 84,019 252,058 126,029 378,088 189,044 94,522 47,261 141,784 70,892 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

← Previous Integer #1,416,199 Browse Full Index Next Integer #1,416,201 →