1,020,320

2⁵ × 5 × 7 × 911

Starting at 1,020,320, the Collatz iteration reaches 1 after 59 steps. The first transition is 510160; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 911

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,757,888

Proper Divisor Sum 1,737,568

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #1020301 ← → #1020329

Radix Representation

Decimal	1020320
Binary	11111001000110100000 (20 bits)
Octal	0o3710640
Hexadecimal	0xF91A0

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 911 1,120 1,822 3,644 4,555 6,377 7,288 9,110 12,754 14,576 18,220 25,508 29,152 31,885 36,440 51,016 63,770 72,880 102,032 127,540 145,760 204,064 255,080 510,160 1,020,320

Collatz Trajectory (59 steps to reach 1)

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

1,020,320 510,160 255,080 127,540 63,770 31,885 95,656 47,828 23,914 11,957 35,872 17,936 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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