1,547,973

3² × 7 × 24571

Starting at 1,547,973, the Collatz iteration reaches 1 after 101 steps. The first transition is 4643920; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 24571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,555,488

Proper Divisor Sum 1,007,515

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1547951 ← → #1547989

Radix Representation

Decimal	1547973
Binary	101111001111011000101 (21 bits)
Octal	0o5717305
Hexadecimal	0x179EC5

Divisor Catalog (12)

1 3 7 9 21 63 24,571 73,713 171,997 221,139 515,991 1,547,973

Collatz Trajectory (101 steps to reach 1)

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

1,547,973 4,643,920 2,321,960 1,160,980 580,490 290,245 870,736 435,368 217,684 108,842 54,421 163,264 81,632 40,816 20,408 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841

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