2,153,907

3² × 7 × 179 × 191

Starting at 2,153,907, the Collatz iteration reaches 1 after 73 steps. The first transition is 6461722; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 179 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,594,240

Proper Divisor Sum 1,440,333

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2153903 ← → #2153909

Radix Representation

Decimal	2153907
Binary	1000001101110110110011 (22 bits)
Octal	0o10156663
Hexadecimal	0x20DDB3

Divisor Catalog (24)

1 3 7 9 21 63 179 191 537 573 1,253 1,337 1,611 1,719 3,759 4,011 11,277 12,033 34,189 102,567 239,323 307,701 717,969 2,153,907

Collatz Trajectory (73 steps to reach 1)

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

2,153,907 6,461,722 3,230,861 9,692,584 4,846,292 2,423,146 1,211,573 3,634,720 1,817,360 908,680 454,340 227,170 113,585 340,756 170,378 85,189 255,568 127,784 63,892 31,946 15,973 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11

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