λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,189,536

3,189,536

25 × 7 × 29 × 491
Abundant Even Composite

3,189,536 factors as 2^5 × 7 × 29 × 491. Its 48 positive divisors give a proper-divisor sum of 4,249,504, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 29 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,439,040
Proper Divisor Sum 4,249,504
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3189517 ← → #3189539

Radix Representation

Decimal 3189536
Binary 1100001010101100100000 (22 bits)
Octal 0o14125440
Hexadecimal 0x30AB20

Divisor Catalog (48)

1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 491 812 928 982 1,624 1,964 3,248 3,437 3,928 6,496 6,874 7,856 13,748 14,239 15,712 27,496 28,478 54,992 56,956 99,673 109,984 113,912 199,346 227,824 398,692 455,648 797,384 1,594,768 3,189,536

Collatz Trajectory (102 steps to reach 1)

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

3,189,536 1,594,768 797,384 398,692 199,346 99,673 299,020 149,510 74,755 224,266 112,133 336,400 168,200 84,100 42,050 21,025 63,076 31,538 15,769 47,308 23,654 11,827 35,482 17,741 53,224 26,612 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #3,189,535 Browse Full Index Next Integer #3,189,537 →