48,613,628

2² × 7 × 19 × 23 × 29 × 137

48,613,628 factors as 2^2 × 7 × 19 × 23 × 29 × 137. Its 96 positive divisors give a proper-divisor sum of 62,669,572, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 23 × 29 × 137

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 111,283,200

Proper Divisor Sum 62,669,572

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #48613613 ← → #48613661

Radix Representation

Decimal	48613628
Binary	10111001011100100011111100 (26 bits)
Octal	0o271344374
Hexadecimal	0x2E5C8FC

Divisor Catalog (60 of 96)

1 2 4 7 14 19 23 28 29 38 46 58 76 92 116 133 137 161 203 266 274 322 406 437 532 548 551 644 667 812 874 959 1,102 1,334 1,748 1,918 2,204 2,603 2,668 3,059 3,151 3,836 3,857 3,973 4,669 5,206 6,118 6,302 7,714 7,946 9,338 10,412 12,236 12,604 12,673 15,428 15,892 18,221 18,676 22,057

Collatz Trajectory (199 steps to reach 1)

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

48,613,628 24,306,814 12,153,407 36,460,222 18,230,111 54,690,334 27,345,167 82,035,502 41,017,751 123,053,254 61,526,627 184,579,882 92,289,941 276,869,824 138,434,912 69,217,456 34,608,728 17,304,364 8,652,182 4,326,091 12,978,274 6,489,137 19,467,412 9,733,706 4,866,853 14,600,560 7,300,280 3,650,140 1,825,070 912,535 2,737,606 1,368,803 4,106,410 2,053,205 6,159,616 3,079,808 1,539,904 769,952 384,976 192,488 96,244 48,122 24,061 72,184 36,092 18,046 9,023 27,070 13,535 40,606 20,303 60,910 30,455 91,366 45,683 137,050 68,525 205,576 102,788 51,394

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #48,613,627 Browse Full Index Next Integer #48,613,629 →