736,464

2⁴ × 3 × 67 × 229

736,464 has digital root 3. The neighboring primes are 736447 and 736469; its proper-divisor sum differs from the starting integer by 466,432.

Prime Factor Structure

Factorization String 2^4 × 3 × 67 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,939,360

Proper Divisor Sum 1,202,896

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #736447 ← → #736469

Radix Representation

Decimal	736464
Binary	10110011110011010000 (20 bits)
Octal	0o2636320
Hexadecimal	0xB3CD0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 67 134 201 229 268 402 458 536 687 804 916 1,072 1,374 1,608 1,832 2,748 3,216 3,664 5,496 10,992 15,343 30,686 46,029 61,372 92,058 122,744 184,116 245,488 368,232 736,464

Collatz Trajectory (136 steps to reach 1)

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

736,464 368,232 184,116 92,058 46,029 138,088 69,044 34,522 17,261 51,784 25,892 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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