4,957,980

2² × 3 × 5 × 82633

Starting at 4,957,980, the Collatz iteration reaches 1 after 175 steps. The first transition is 2478990; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 82633

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,882,512

Proper Divisor Sum 8,924,532

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4957969 ← → #4957987

Radix Representation

Decimal	4957980
Binary	10010111010011100011100 (23 bits)
Octal	0o22723434
Hexadecimal	0x4BA71C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 82,633 165,266 247,899 330,532 413,165 495,798 826,330 991,596 1,239,495 1,652,660 2,478,990 4,957,980

Collatz Trajectory (175 steps to reach 1)

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

4,957,980 2,478,990 1,239,495 3,718,486 1,859,243 5,577,730 2,788,865 8,366,596 4,183,298 2,091,649 6,274,948 3,137,474 1,568,737 4,706,212 2,353,106 1,176,553 3,529,660 1,764,830 882,415 2,647,246 1,323,623 3,970,870 1,985,435 5,956,306 2,978,153 8,934,460 4,467,230 2,233,615 6,700,846 3,350,423 10,051,270 5,025,635 15,076,906 7,538,453 22,615,360 11,307,680 5,653,840 2,826,920 1,413,460 706,730 353,365 1,060,096 530,048 265,024 132,512 66,256 33,128 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874

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