4,725,188

2² × 13 × 89 × 1021

Starting at 4,725,188, the Collatz iteration reaches 1 after 87 steps. The first transition is 2362594; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 89 × 1021

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,014,040

Proper Divisor Sum 4,288,852

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4725179 ← → #4725191

Radix Representation

Decimal	4725188
Binary	10010000001100111000100 (23 bits)
Octal	0o22014704
Hexadecimal	0x4819C4

Divisor Catalog (24)

1 2 4 13 26 52 89 178 356 1,021 1,157 2,042 2,314 4,084 4,628 13,273 26,546 53,092 90,869 181,738 363,476 1,181,297 2,362,594 4,725,188

Collatz Trajectory (87 steps to reach 1)

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

4,725,188 2,362,594 1,181,297 3,543,892 1,771,946 885,973 2,657,920 1,328,960 664,480 332,240 166,120 83,060 41,530 20,765 62,296 31,148 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833

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