3,609,928

2³ × 7² × 9209

3,609,928 factors as 2^3 × 7^2 × 9209. Its 24 positive divisors give a proper-divisor sum of 4,264,622, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 9209

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,874,550

Proper Divisor Sum 4,264,622

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3609913 ← → #3609941

Radix Representation

Decimal	3609928
Binary	1101110001010101001000 (22 bits)
Octal	0o15612510
Hexadecimal	0x371548

Divisor Catalog (24)

Collatz Trajectory (234 steps to reach 1)

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

3,609,928 1,804,964 902,482 451,241 1,353,724 676,862 338,431 1,015,294 507,647 1,522,942 761,471 2,284,414 1,142,207 3,426,622 1,713,311 5,139,934 2,569,967 7,709,902 3,854,951 11,564,854 5,782,427 17,347,282 8,673,641 26,020,924 13,010,462 6,505,231 19,515,694 9,757,847 29,273,542 14,636,771 43,910,314 21,955,157 65,865,472 32,932,736 16,466,368 8,233,184 4,116,592 2,058,296 1,029,148 514,574 257,287 771,862 385,931 1,157,794 578,897 1,736,692 868,346 434,173 1,302,520 651,260 325,630 162,815 488,446 244,223 732,670 366,335 1,099,006 549,503 1,648,510 824,255

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