4,526,802

2 × 3² × 7 × 37 × 971

Starting at 4,526,802, the Collatz iteration reaches 1 after 131 steps. The first transition is 2263401; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 37 × 971

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,524,032

Proper Divisor Sum 6,997,230

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4526801 ← → #4526827

Radix Representation

Decimal	4526802
Binary	10001010001001011010010 (23 bits)
Octal	0o21211322
Hexadecimal	0x4512D2

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 971 1,554 1,942 2,331 2,913 4,662 5,826 6,797 8,739 13,594 17,478 20,391 35,927 40,782 61,173 71,854 107,781 122,346 215,562 251,489 323,343 502,978 646,686 754,467 1,508,934 2,263,401 4,526,802

Collatz Trajectory (131 steps to reach 1)

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

4,526,802 2,263,401 6,790,204 3,395,102 1,697,551 5,092,654 2,546,327 7,638,982 3,819,491 11,458,474 5,729,237 17,187,712 8,593,856 4,296,928 2,148,464 1,074,232 537,116 268,558 134,279 402,838 201,419 604,258 302,129 906,388 453,194 226,597 679,792 339,896 169,948 84,974 42,487 127,462 63,731 191,194 95,597 286,792 143,396 71,698 35,849 107,548 53,774 26,887 80,662 40,331 120,994 60,497 181,492 90,746 45,373 136,120 68,060 34,030 17,015 51,046 25,523 76,570 38,285 114,856 57,428 28,714

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