9,797,998

2 × 7 × 29 × 24133

Starting at 9,797,998, the Collatz iteration reaches 1 after 176 steps. The first transition is 4898999; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 24133

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,376,480

Proper Divisor Sum 7,578,482

Digit Sum / Digital Root 58 (Root: 4)

Adjacent Primes #9797993 ← → #9797999

Radix Representation

Decimal	9797998
Binary	100101011000000101101110 (24 bits)
Octal	0o45300556
Hexadecimal	0x95816E

Divisor Catalog (16)

1 2 7 14 29 58 203 406 24,133 48,266 168,931 337,862 699,857 1,399,714 4,898,999 9,797,998

Collatz Trajectory (176 steps to reach 1)

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

9,797,998 4,898,999 14,696,998 7,348,499 22,045,498 11,022,749 33,068,248 16,534,124 8,267,062 4,133,531 12,400,594 6,200,297 18,600,892 9,300,446 4,650,223 13,950,670 6,975,335 20,926,006 10,463,003 31,389,010 15,694,505 47,083,516 23,541,758 11,770,879 35,312,638 17,656,319 52,968,958 26,484,479 79,453,438 39,726,719 119,180,158 59,590,079 178,770,238 89,385,119 268,155,358 134,077,679 402,233,038 201,116,519 603,349,558 301,674,779 905,024,338 452,512,169 1,357,536,508 678,768,254 339,384,127 1,018,152,382 509,076,191 1,527,228,574 763,614,287 2,290,842,862 1,145,421,431 3,436,264,294 1,718,132,147 5,154,396,442 2,577,198,221 7,731,594,664 3,865,797,332 1,932,898,666 966,449,333 2,899,348,000

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