737,452

2² × 263 × 701

Starting at 737,452, the Collatz iteration reaches 1 after 242 steps. The first transition is 368726; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 263 × 701

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,297,296

Proper Divisor Sum 559,844

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #737431 ← → #737479

Radix Representation

Decimal	737452
Binary	10110100000010101100 (20 bits)
Octal	0o2640254
Hexadecimal	0xB40AC

Divisor Catalog (12)

1 2 4 263 526 701 1,052 1,402 2,804 184,363 368,726 737,452

Collatz Trajectory (242 steps to reach 1)

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

737,452 368,726 184,363 553,090 276,545 829,636 414,818 207,409 622,228 311,114 155,557 466,672 233,336 116,668 58,334 29,167 87,502 43,751 131,254 65,627 196,882 98,441 295,324 147,662 73,831 221,494 110,747 332,242 166,121 498,364 249,182 124,591 373,774 186,887 560,662 280,331 840,994 420,497 1,261,492 630,746 315,373 946,120 473,060 236,530 118,265 354,796 177,398 88,699 266,098 133,049 399,148 199,574 99,787 299,362 149,681 449,044 224,522 112,261 336,784 168,392

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