5,834,772

2² × 3² × 61 × 2657

5,834,772 has digital root 9. The neighboring primes are 5834701 and 5834797; its proper-divisor sum differs from the starting integer by 3,326,892.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 61 × 2657

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,996,436

Proper Divisor Sum 9,161,664

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5834701 ← → #5834797

Radix Representation

Decimal	5834772
Binary	10110010000100000010100 (23 bits)
Octal	0o26204024
Hexadecimal	0x590814

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1,098 2,196 2,657 5,314 7,971 10,628 15,942 23,913 31,884 47,826 95,652 162,077 324,154 486,231 648,308 972,462 1,458,693 1,944,924 2,917,386 5,834,772

Collatz Trajectory (183 steps to reach 1)

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

5,834,772 2,917,386 1,458,693 4,376,080 2,188,040 1,094,020 547,010 273,505 820,516 410,258 205,129 615,388 307,694 153,847 461,542 230,771 692,314 346,157 1,038,472 519,236 259,618 129,809 389,428 194,714 97,357 292,072 146,036 73,018 36,509 109,528 54,764 27,382 13,691 41,074 20,537 61,612 30,806 15,403 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372 686 343 1,030

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