1,502,800

2⁴ × 5² × 13 × 17²

Starting at 1,502,800, the Collatz iteration reaches 1 after 57 steps. The first transition is 751400; the starting value is even with 90 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 13 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 4,130,378

Proper Divisor Sum 2,627,578

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #1502771 ← → #1502801

Radix Representation

Decimal	1502800
Binary	101101110111001010000 (21 bits)
Octal	0o5567120
Hexadecimal	0x16EE50

Divisor Catalog (60 of 90)

1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 130 136 170 200 208 221 260 272 289 325 340 400 425 442 520 578 650 680 850 884 1,040 1,105 1,156 1,300 1,360 1,445 1,700 1,768 2,210 2,312 2,600 2,890 3,400 3,536 3,757 4,420 4,624 5,200

Collatz Trajectory (57 steps to reach 1)

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

1,502,800 751,400 375,700 187,850 93,925 281,776 140,888 70,444 35,222 17,611 52,834 26,417 79,252 39,626 19,813 59,440 29,720 14,860 7,430 3,715 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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