5,837,472

2⁵ × 3² × 20269

Starting at 5,837,472, the Collatz iteration reaches 1 after 90 steps. The first transition is 2918736; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 20269

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 16,601,130

Proper Divisor Sum 10,763,658

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5837399 ← → #5837501

Radix Representation

Decimal	5837472
Binary	10110010001001010100000 (23 bits)
Octal	0o26211240
Hexadecimal	0x5912A0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 20,269 40,538 60,807 81,076 121,614 162,152 182,421 243,228 324,304 364,842 486,456 648,608 729,684 972,912 1,459,368 1,945,824 2,918,736 5,837,472

Collatz Trajectory (90 steps to reach 1)

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

5,837,472 2,918,736 1,459,368 729,684 364,842 182,421 547,264 273,632 136,816 68,408 34,204 17,102 8,551 25,654 12,827 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

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