3,563,752

2³ × 29 × 15361

3,563,752 factors as 2^3 × 29 × 15361. Its 16 positive divisors give a proper-divisor sum of 3,349,148, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 15361

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,912,900

Proper Divisor Sum 3,349,148

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3563741 ← → #3563753

Radix Representation

Decimal	3563752
Binary	1101100110000011101000 (22 bits)
Octal	0o15460350
Hexadecimal	0x3660E8

Divisor Catalog (16)

1 2 4 8 29 58 116 232 15,361 30,722 61,444 122,888 445,469 890,938 1,781,876 3,563,752

Collatz Trajectory (97 steps to reach 1)

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

3,563,752 1,781,876 890,938 445,469 1,336,408 668,204 334,102 167,051 501,154 250,577 751,732 375,866 187,933 563,800 281,900 140,950 70,475 211,426 105,713 317,140 158,570 79,285 237,856 118,928 59,464 29,732 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629

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