λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,902,504

3,902,504

23 × 47 × 97 × 107
Deficient Even Composite

3,902,504 factors as 2^3 × 47 × 97 × 107. Its 32 positive divisors give a proper-divisor sum of 3,717,976, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 47 × 97 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,620,480
Proper Divisor Sum 3,717,976
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3902491 ← → #3902531

Radix Representation

Decimal 3902504
Binary 1110111000110000101000 (22 bits)
Octal 0o16706050
Hexadecimal 0x3B8C28

Divisor Catalog (32)

1 2 4 8 47 94 97 107 188 194 214 376 388 428 776 856 4,559 5,029 9,118 10,058 10,379 18,236 20,116 20,758 36,472 40,232 41,516 83,032 487,813 975,626 1,951,252 3,902,504

Collatz Trajectory (141 steps to reach 1)

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

3,902,504 1,951,252 975,626 487,813 1,463,440 731,720 365,860 182,930 91,465 274,396 137,198 68,599 205,798 102,899 308,698 154,349 463,048 231,524 115,762 57,881 173,644 86,822 43,411 130,234 65,117 195,352 97,676 48,838 24,419 73,258 36,629 109,888 54,944 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,902,503 Browse Full Index Next Integer #3,902,505 →