9,727,487

7 × 11 × 19 × 61 × 109

Starting at 9,727,487, the Collatz iteration reaches 1 after 251 steps. The first transition is 29182462; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 19 × 61 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,094,400

Proper Divisor Sum 3,366,913

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9727463 ← → #9727489

Radix Representation

Decimal	9727487
Binary	100101000110110111111111 (24 bits)
Octal	0o45066777
Hexadecimal	0x946DFF

Divisor Catalog (32)

1 7 11 19 61 77 109 133 209 427 671 763 1,159 1,199 1,463 2,071 4,697 6,649 8,113 8,393 12,749 14,497 22,781 46,543 73,139 89,243 126,331 159,467 511,973 884,317 1,389,641 9,727,487

Collatz Trajectory (251 steps to reach 1)

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

9,727,487 29,182,462 14,591,231 43,773,694 21,886,847 65,660,542 32,830,271 98,490,814 49,245,407 147,736,222 73,868,111 221,604,334 110,802,167 332,406,502 166,203,251 498,609,754 249,304,877 747,914,632 373,957,316 186,978,658 93,489,329 280,467,988 140,233,994 70,116,997 210,350,992 105,175,496 52,587,748 26,293,874 13,146,937 39,440,812 19,720,406 9,860,203 29,580,610 14,790,305 44,370,916 22,185,458 11,092,729 33,278,188 16,639,094 8,319,547 24,958,642 12,479,321 37,437,964 18,718,982 9,359,491 28,078,474 14,039,237 42,117,712 21,058,856 10,529,428 5,264,714 2,632,357 7,897,072 3,948,536 1,974,268 987,134 493,567 1,480,702 740,351 2,221,054

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