9,987,633

3² × 1109737

Starting at 9,987,633, the Collatz iteration reaches 1 after 282 steps. The first transition is 29962900; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 1109737

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 14,426,594

Proper Divisor Sum 4,438,961

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9987617 ← → #9987643

Radix Representation

Decimal	9987633
Binary	100110000110011000110001 (24 bits)
Octal	0o46063061
Hexadecimal	0x986631

Divisor Catalog (6)

1 3 9 1,109,737 3,329,211 9,987,633

Collatz Trajectory (282 steps to reach 1)

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

9,987,633 29,962,900 14,981,450 7,490,725 22,472,176 11,236,088 5,618,044 2,809,022 1,404,511 4,213,534 2,106,767 6,320,302 3,160,151 9,480,454 4,740,227 14,220,682 7,110,341 21,331,024 10,665,512 5,332,756 2,666,378 1,333,189 3,999,568 1,999,784 999,892 499,946 249,973 749,920 374,960 187,480 93,740 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355

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