706,148

2² × 176537

Starting at 706,148, the Collatz iteration reaches 1 after 105 steps. The first transition is 353074; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 176537

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,235,766

Proper Divisor Sum 529,618

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #706141 ← → #706151

Radix Representation

Decimal	706148
Binary	10101100011001100100 (20 bits)
Octal	0o2543144
Hexadecimal	0xAC664

Divisor Catalog (6)

1 2 4 176,537 353,074 706,148

Collatz Trajectory (105 steps to reach 1)

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

706,148 353,074 176,537 529,612 264,806 132,403 397,210 198,605 595,816 297,908 148,954 74,477 223,432 111,716 55,858 27,929 83,788 41,894 20,947 62,842 31,421 94,264 47,132 23,566 11,783 35,350 17,675 53,026 26,513 79,540 39,770 19,885 59,656 29,828 14,914 7,457 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749

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