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Atlas › Integer Profiles › Node 5,833,720

5,833,720

23 × 5 × 17 × 23 × 373
Abundant Even Composite

5,833,720 factors as 2^3 × 5 × 17 × 23 × 373. Its 64 positive divisors give a proper-divisor sum of 8,707,400, so this integer is abundant. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 23 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,541,120
Proper Divisor Sum 8,707,400
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5833717 ← → #5833721

Radix Representation

Decimal 5833720
Binary 10110010000001111111000 (23 bits)
Octal 0o26201770
Hexadecimal 0x5903F8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 373 391 460 680 746 782 920 1,492 1,564 1,865 1,955 2,984 3,128 3,730 3,910 6,341 7,460 7,820 8,579 12,682 14,920 15,640 17,158 25,364 31,705 34,316 42,895 50,728 63,410 68,632 85,790 126,820 145,843 171,580 253,640 291,686 343,160 583,372 729,215

Collatz Trajectory (245 steps to reach 1)

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

5,833,720 2,916,860 1,458,430 729,215 2,187,646 1,093,823 3,281,470 1,640,735 4,922,206 2,461,103 7,383,310 3,691,655 11,074,966 5,537,483 16,612,450 8,306,225 24,918,676 12,459,338 6,229,669 18,689,008 9,344,504 4,672,252 2,336,126 1,168,063 3,504,190 1,752,095 5,256,286 2,628,143 7,884,430 3,942,215 11,826,646 5,913,323 17,739,970 8,869,985 26,609,956 13,304,978 6,652,489 19,957,468 9,978,734 4,989,367 14,968,102 7,484,051 22,452,154 11,226,077 33,678,232 16,839,116 8,419,558 4,209,779 12,629,338 6,314,669 18,944,008 9,472,004 4,736,002 2,368,001 7,104,004 3,552,002 1,776,001 5,328,004 2,664,002 1,332,001

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