1,224,736

2⁵ × 38273

Starting at 1,224,736, the Collatz iteration reaches 1 after 111 steps. The first transition is 612368; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 38273

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,411,262

Proper Divisor Sum 1,186,526

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1224709 ← → #1224739

Radix Representation

Decimal	1224736
Binary	100101011000000100000 (21 bits)
Octal	0o4530040
Hexadecimal	0x12B020

Divisor Catalog (12)

1 2 4 8 16 32 38,273 76,546 153,092 306,184 612,368 1,224,736

Collatz Trajectory (111 steps to reach 1)

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

1,224,736 612,368 306,184 153,092 76,546 38,273 114,820 57,410 28,705 86,116 43,058 21,529 64,588 32,294 16,147 48,442 24,221 72,664 36,332 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775

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