612,458

2 × 7 × 11 × 41 × 97

612,458 factors as 2 × 7 × 11 × 41 × 97. Its 32 positive divisors give a proper-divisor sum of 572,950, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 41 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,185,408

Proper Divisor Sum 572,950

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #612439 ← → #612481

Radix Representation

Decimal	612458
Binary	10010101100001101010 (20 bits)
Octal	0o2254152
Hexadecimal	0x9586A

Divisor Catalog (32)

1 2 7 11 14 22 41 77 82 97 154 194 287 451 574 679 902 1,067 1,358 2,134 3,157 3,977 6,314 7,469 7,954 14,938 27,839 43,747 55,678 87,494 306,229 612,458

Collatz Trajectory (84 steps to reach 1)

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

612,458 306,229 918,688 459,344 229,672 114,836 57,418 28,709 86,128 43,064 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650

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