3,692,775

3 × 5² × 53 × 929

3,692,775 factors as 3 × 5^2 × 53 × 929. Its 24 positive divisors give a proper-divisor sum of 2,534,505, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 53 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,227,280

Proper Divisor Sum 2,534,505

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3692771 ← → #3692803

Radix Representation

Decimal	3692775
Binary	1110000101100011100111 (22 bits)
Octal	0o16054347
Hexadecimal	0x3858E7

Divisor Catalog (24)

Collatz Trajectory (159 steps to reach 1)

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

3,692,775 11,078,326 5,539,163 16,617,490 8,308,745 24,926,236 12,463,118 6,231,559 18,694,678 9,347,339 28,042,018 14,021,009 42,063,028 21,031,514 10,515,757 31,547,272 15,773,636 7,886,818 3,943,409 11,830,228 5,915,114 2,957,557 8,872,672 4,436,336 2,218,168 1,109,084 554,542 277,271 831,814 415,907 1,247,722 623,861 1,871,584 935,792 467,896 233,948 116,974 58,487 175,462 87,731 263,194 131,597 394,792 197,396 98,698 49,349 148,048 74,024 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905

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