1,117,648

2⁴ × 7 × 17 × 587

Starting at 1,117,648, the Collatz iteration reaches 1 after 134 steps. The first transition is 558824; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 17 × 587

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,624,832

Proper Divisor Sum 1,507,184

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1117609 ← → #1117657

Radix Representation

Decimal	1117648
Binary	100010000110111010000 (21 bits)
Octal	0o4206720
Hexadecimal	0x110DD0

Divisor Catalog (40)

1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 587 952 1,174 1,904 2,348 4,109 4,696 8,218 9,392 9,979 16,436 19,958 32,872 39,916 65,744 69,853 79,832 139,706 159,664 279,412 558,824 1,117,648

Collatz Trajectory (134 steps to reach 1)

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

1,117,648 558,824 279,412 139,706 69,853 209,560 104,780 52,390 26,195 78,586 39,293 117,880 58,940 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186

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