1,134,624

2⁵ × 3 × 53 × 223

1,134,624 has digital root 3. The neighboring primes are 1134619 and 1134649; its proper-divisor sum differs from the starting integer by 778,944.

Prime Factor Structure

Factorization String 2^5 × 3 × 53 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,048,192

Proper Divisor Sum 1,913,568

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1134619 ← → #1134649

Radix Representation

Decimal	1134624
Binary	100010101000000100000 (21 bits)
Octal	0o4250040
Hexadecimal	0x115020

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 223 318 424 446 636 669 848 892 1,272 1,338 1,696 1,784 2,544 2,676 3,568 5,088 5,352 7,136 10,704 11,819 21,408 23,638 35,457 47,276 70,914 94,552 141,828 189,104 283,656 378,208 567,312 1,134,624

Collatz Trajectory (129 steps to reach 1)

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

1,134,624 567,312 283,656 141,828 70,914 35,457 106,372 53,186 26,593 79,780 39,890 19,945 59,836 29,918 14,959 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186

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