57,770,608

2⁴ × 7² × 31 × 2377

57,770,608 factors as 2^4 × 7^2 × 31 × 2377. Its 60 positive divisors give a proper-divisor sum of 76,691,024, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 31 × 2377

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 134,461,632

Proper Divisor Sum 76,691,024

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #57770597 ← → #57770611

Radix Representation

Decimal	57770608
Binary	11011100011000001001110000 (26 bits)
Octal	0o334301160
Hexadecimal	0x3718270

Divisor Catalog (60)

1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1,519 1,736 2,377 3,038 3,472 4,754 6,076 9,508 12,152 16,639 19,016 24,304 33,278 38,032 66,556 73,687 116,473 133,112 147,374 232,946 266,224 294,748 465,892 515,809 589,496 931,784 1,031,618 1,178,992 1,863,568 2,063,236 3,610,663 4,126,472 7,221,326 8,252,944 14,442,652 28,885,304 57,770,608

Collatz Trajectory (145 steps to reach 1)

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

57,770,608 28,885,304 14,442,652 7,221,326 3,610,663 10,831,990 5,415,995 16,247,986 8,123,993 24,371,980 12,185,990 6,092,995 18,278,986 9,139,493 27,418,480 13,709,240 6,854,620 3,427,310 1,713,655 5,140,966 2,570,483 7,711,450 3,855,725 11,567,176 5,783,588 2,891,794 1,445,897 4,337,692 2,168,846 1,084,423 3,253,270 1,626,635 4,879,906 2,439,953 7,319,860 3,659,930 1,829,965 5,489,896 2,744,948 1,372,474 686,237 2,058,712 1,029,356 514,678 257,339 772,018 386,009 1,158,028 579,014 289,507 868,522 434,261 1,302,784 651,392 325,696 162,848 81,424 40,712 20,356 10,178

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #57,770,607 Browse Full Index Next Integer #57,770,609 →