1,415,420

2² × 5 × 17 × 23 × 181

Starting at 1,415,420, the Collatz iteration reaches 1 after 106 steps. The first transition is 707710; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 23 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,302,208

Proper Divisor Sum 1,886,788

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1415419 ← → #1415441

Radix Representation

Decimal	1415420
Binary	101011001100011111100 (21 bits)
Octal	0o5314374
Hexadecimal	0x1598FC

Divisor Catalog (48)

1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 181 230 340 362 391 460 724 782 905 1,564 1,810 1,955 3,077 3,620 3,910 4,163 6,154 7,820 8,326 12,308 15,385 16,652 20,815 30,770 41,630 61,540 70,771 83,260 141,542 283,084 353,855 707,710 1,415,420

Collatz Trajectory (106 steps to reach 1)

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

1,415,420 707,710 353,855 1,061,566 530,783 1,592,350 796,175 2,388,526 1,194,263 3,582,790 1,791,395 5,374,186 2,687,093 8,061,280 4,030,640 2,015,320 1,007,660 503,830 251,915 755,746 377,873 1,133,620 566,810 283,405 850,216 425,108 212,554 106,277 318,832 159,416 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981

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