λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,507,232

1,507,232

25 × 19 × 37 × 67
Abundant Even Composite

1,507,232 factors as 2^5 × 19 × 37 × 67. Its 48 positive divisors give a proper-divisor sum of 1,748,608, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^5 × 19 × 37 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,255,840
Proper Divisor Sum 1,748,608
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1507229 ← → #1507291

Radix Representation

Decimal 1507232
Binary 101101111111110100000 (21 bits)
Octal 0o5577640
Hexadecimal 0x16FFA0

Divisor Catalog (48)

1 2 4 8 16 19 32 37 38 67 74 76 134 148 152 268 296 304 536 592 608 703 1,072 1,184 1,273 1,406 2,144 2,479 2,546 2,812 4,958 5,092 5,624 9,916 10,184 11,248 19,832 20,368 22,496 39,664 40,736 47,101 79,328 94,202 188,404 376,808 753,616 1,507,232

Collatz Trajectory (132 steps to reach 1)

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

1,507,232 753,616 376,808 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,507,231 Browse Full Index Next Integer #1,507,233 →