147,499

11² × 23 × 53

Starting at 147,499, the Collatz iteration reaches 1 after 219 steps. The first transition is 442498; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 23 × 53

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 172,368

Proper Divisor Sum 24,869

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #147487 ← → #147503

Radix Representation

Decimal	147499
Binary	100100000000101011 (18 bits)
Octal	0o440053
Hexadecimal	0x2402B

Divisor Catalog (12)

1 11 23 53 121 253 583 1,219 2,783 6,413 13,409 147,499

Collatz Trajectory (219 steps to reach 1)

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

147,499 442,498 221,249 663,748 331,874 165,937 497,812 248,906 124,453 373,360 186,680 93,340 46,670 23,335 70,006 35,003 105,010 52,505 157,516 78,758 39,379 118,138 59,069 177,208 88,604 44,302 22,151 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695

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