4,900,820

2² × 5 × 317 × 773

Starting at 4,900,820, the Collatz iteration reaches 1 after 175 steps. The first transition is 2450410; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 317 × 773

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,337,544

Proper Divisor Sum 5,436,724

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4900799 ← → #4900877

Radix Representation

Decimal	4900820
Binary	10010101100011111010100 (23 bits)
Octal	0o22543724
Hexadecimal	0x4AC7D4

Divisor Catalog (24)

1 2 4 5 10 20 317 634 773 1,268 1,546 1,585 3,092 3,170 3,865 6,340 7,730 15,460 245,041 490,082 980,164 1,225,205 2,450,410 4,900,820

Collatz Trajectory (175 steps to reach 1)

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

4,900,820 2,450,410 1,225,205 3,675,616 1,837,808 918,904 459,452 229,726 114,863 344,590 172,295 516,886 258,443 775,330 387,665 1,162,996 581,498 290,749 872,248 436,124 218,062 109,031 327,094 163,547 490,642 245,321 735,964 367,982 183,991 551,974 275,987 827,962 413,981 1,241,944 620,972 310,486 155,243 465,730 232,865 698,596 349,298 174,649 523,948 261,974 130,987 392,962 196,481 589,444 294,722 147,361 442,084 221,042 110,521 331,564 165,782 82,891 248,674 124,337 373,012 186,506

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