4,512,400

2⁴ × 5² × 29 × 389

Starting at 4,512,400, the Collatz iteration reaches 1 after 87 steps. The first transition is 2256200; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 29 × 389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 11,243,700

Proper Divisor Sum 6,731,300

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #4512397 ← → #4512407

Radix Representation

Decimal	4512400
Binary	10001001101101010010000 (23 bits)
Octal	0o21155220
Hexadecimal	0x44DA90

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 389 400 464 580 725 778 1,160 1,450 1,556 1,945 2,320 2,900 3,112 3,890 5,800 6,224 7,780 9,725 11,281 11,600 15,560 19,450 22,562 31,120 38,900 45,124 56,405 77,800 90,248 112,810 155,600 180,496 225,620 282,025 451,240 564,050 902,480 1,128,100 2,256,200 4,512,400

Collatz Trajectory (87 steps to reach 1)

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

4,512,400 2,256,200 1,128,100 564,050 282,025 846,076 423,038 211,519 634,558 317,279 951,838 475,919 1,427,758 713,879 2,141,638 1,070,819 3,212,458 1,606,229 4,818,688 2,409,344 1,204,672 602,336 301,168 150,584 75,292 37,646 18,823 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134

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