9,792,633

3 × 29 × 112559

Starting at 9,792,633, the Collatz iteration reaches 1 after 114 steps. The first transition is 29377900; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 112559

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,507,200

Proper Divisor Sum 3,714,567

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9792631 ← → #9792637

Radix Representation

Decimal	9792633
Binary	100101010110110001111001 (24 bits)
Octal	0o45266171
Hexadecimal	0x956C79

Divisor Catalog (8)

1 3 29 87 112,559 337,677 3,264,211 9,792,633

Collatz Trajectory (114 steps to reach 1)

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

9,792,633 29,377,900 14,688,950 7,344,475 22,033,426 11,016,713 33,050,140 16,525,070 8,262,535 24,787,606 12,393,803 37,181,410 18,590,705 55,772,116 27,886,058 13,943,029 41,829,088 20,914,544 10,457,272 5,228,636 2,614,318 1,307,159 3,921,478 1,960,739 5,882,218 2,941,109 8,823,328 4,411,664 2,205,832 1,102,916 551,458 275,729 827,188 413,594 206,797 620,392 310,196 155,098 77,549 232,648 116,324 58,162 29,081 87,244 43,622 21,811 65,434 32,717 98,152 49,076 24,538 12,269 36,808 18,404 9,202 4,601 13,804 6,902 3,451 10,354

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