3,696,416

2⁵ × 115513

3,696,416 factors as 2^5 × 115513. Its 12 positive divisors give a proper-divisor sum of 3,580,966, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^5 × 115513

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,277,382

Proper Divisor Sum 3,580,966

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3696403 ← → #3696419

Radix Representation

Decimal	3696416
Binary	1110000110011100100000 (22 bits)
Octal	0o16063440
Hexadecimal	0x386720

Divisor Catalog (12)

1 2 4 8 16 32 115,513 231,026 462,052 924,104 1,848,208 3,696,416

Collatz Trajectory (172 steps to reach 1)

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

3,696,416 1,848,208 924,104 462,052 231,026 115,513 346,540 173,270 86,635 259,906 129,953 389,860 194,930 97,465 292,396 146,198 73,099 219,298 109,649 328,948 164,474 82,237 246,712 123,356 61,678 30,839 92,518 46,259 138,778 69,389 208,168 104,084 52,042 26,021 78,064 39,032 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109

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