3,788,264

2³ × 473533

3,788,264 factors as 2^3 × 473533. Its 8 positive divisors give a proper-divisor sum of 3,314,746, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^3 × 473533

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,103,010

Proper Divisor Sum 3,314,746

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3788251 ← → #3788273

Radix Representation

Decimal	3788264
Binary	1110011100110111101000 (22 bits)
Octal	0o16346750
Hexadecimal	0x39CDE8

Divisor Catalog (8)

1 2 4 8 473,533 947,066 1,894,132 3,788,264

Collatz Trajectory (102 steps to reach 1)

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

3,788,264 1,894,132 947,066 473,533 1,420,600 710,300 355,150 177,575 532,726 266,363 799,090 399,545 1,198,636 599,318 299,659 898,978 449,489 1,348,468 674,234 337,117 1,011,352 505,676 252,838 126,419 379,258 189,629 568,888 284,444 142,222 71,111 213,334 106,667 320,002 160,001 480,004 240,002 120,001 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178

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