2,151,872

2⁶ × 33623

Starting at 2,151,872, the Collatz iteration reaches 1 after 73 steps. The first transition is 1075936; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 33623

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 4,270,248

Proper Divisor Sum 2,118,376

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2151869 ← → #2151899

Radix Representation

Decimal	2151872
Binary	1000001101010111000000 (22 bits)
Octal	0o10152700
Hexadecimal	0x20D5C0

Divisor Catalog (14)

1 2 4 8 16 32 64 33,623 67,246 134,492 268,984 537,968 1,075,936 2,151,872

Collatz Trajectory (73 steps to reach 1)

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

2,151,872 1,075,936 537,968 268,984 134,492 67,246 33,623 100,870 50,435 151,306 75,653 226,960 113,480 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11

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