9,949,984

2⁵ × 11 × 23 × 1229

Starting at 9,949,984, the Collatz iteration reaches 1 after 114 steps. The first transition is 4974992; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 11 × 23 × 1229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,317,120

Proper Divisor Sum 12,367,136

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #9949967 ← → #9950021

Radix Representation

Decimal	9949984
Binary	100101111101001100100000 (24 bits)
Octal	0o45751440
Hexadecimal	0x97D320

Divisor Catalog (48)

1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1,012 1,229 2,024 2,458 4,048 4,916 8,096 9,832 13,519 19,664 27,038 28,267 39,328 54,076 56,534 108,152 113,068 216,304 226,136 310,937 432,608 452,272 621,874 904,544 1,243,748 2,487,496 4,974,992 9,949,984

Collatz Trajectory (114 steps to reach 1)

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

9,949,984 4,974,992 2,487,496 1,243,748 621,874 310,937 932,812 466,406 233,203 699,610 349,805 1,049,416 524,708 262,354 131,177 393,532 196,766 98,383 295,150 147,575 442,726 221,363 664,090 332,045 996,136 498,068 249,034 124,517 373,552 186,776 93,388 46,694 23,347 70,042 35,021 105,064 52,532 26,266 13,133 39,400 19,700 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528

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