1,653,172

2² × 413293

Starting at 1,653,172, the Collatz iteration reaches 1 after 114 steps. The first transition is 826586; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 413293

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,893,058

Proper Divisor Sum 1,239,886

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1653167 ← → #1653181

Radix Representation

Decimal	1653172
Binary	110010011100110110100 (21 bits)
Octal	0o6234664
Hexadecimal	0x1939B4

Divisor Catalog (6)

1 2 4 413,293 826,586 1,653,172

Collatz Trajectory (114 steps to reach 1)

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

1,653,172 826,586 413,293 1,239,880 619,940 309,970 154,985 464,956 232,478 116,239 348,718 174,359 523,078 261,539 784,618 392,309 1,176,928 588,464 294,232 147,116 73,558 36,779 110,338 55,169 165,508 82,754 41,377 124,132 62,066 31,033 93,100 46,550 23,275 69,826 34,913 104,740 52,370 26,185 78,556 39,278 19,639 58,918 29,459 88,378 44,189 132,568 66,284 33,142 16,571 49,714 24,857 74,572 37,286 18,643 55,930 27,965 83,896 41,948 20,974 10,487

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