1,477,567

7 × 13² × 1249

Starting at 1,477,567, the Collatz iteration reaches 1 after 194 steps. The first transition is 4432702; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 13^2 × 1249

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,830,000

Proper Divisor Sum 352,433

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1477559 ← → #1477577

Radix Representation

Decimal	1477567
Binary	101101000101110111111 (21 bits)
Octal	0o5505677
Hexadecimal	0x168BBF

Divisor Catalog (12)

1 7 13 91 169 1,183 1,249 8,743 16,237 113,659 211,081 1,477,567

Collatz Trajectory (194 steps to reach 1)

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

1,477,567 4,432,702 2,216,351 6,649,054 3,324,527 9,973,582 4,986,791 14,960,374 7,480,187 22,440,562 11,220,281 33,660,844 16,830,422 8,415,211 25,245,634 12,622,817 37,868,452 18,934,226 9,467,113 28,401,340 14,200,670 7,100,335 21,301,006 10,650,503 31,951,510 15,975,755 47,927,266 23,963,633 71,890,900 35,945,450 17,972,725 53,918,176 26,959,088 13,479,544 6,739,772 3,369,886 1,684,943 5,054,830 2,527,415 7,582,246 3,791,123 11,373,370 5,686,685 17,060,056 8,530,028 4,265,014 2,132,507 6,397,522 3,198,761 9,596,284 4,798,142 2,399,071 7,197,214 3,598,607 10,795,822 5,397,911 16,193,734 8,096,867 24,290,602 12,145,301

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