698,477

13² × 4133

Starting at 698,477, the Collatz iteration reaches 1 after 136 steps. The first transition is 2095432; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 4133

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 756,522

Proper Divisor Sum 58,045

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #698471 ← → #698483

Radix Representation

Decimal	698477
Binary	10101010100001101101 (20 bits)
Octal	0o2524155
Hexadecimal	0xAA86D

Divisor Catalog (6)

1 13 169 4,133 53,729 698,477

Collatz Trajectory (136 steps to reach 1)

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

698,477 2,095,432 1,047,716 523,858 261,929 785,788 392,894 196,447 589,342 294,671 884,014 442,007 1,326,022 663,011 1,989,034 994,517 2,983,552 1,491,776 745,888 372,944 186,472 93,236 46,618 23,309 69,928 34,964 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608

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