345,072

2⁴ × 3 × 7 × 13 × 79

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,111,040

Proper Divisor Sum 765,968

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #345067 ← → #345089

Radix Representation

Decimal	345072
Binary	1010100001111110000 (19 bits)
Octal	0o1241760
Hexadecimal	0x543F0

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 79 84 91 104 112 156 158 168 182 208 237 273 312 316 336 364 474 546 553 624 632 728 948 1,027 1,092 1,106 1,264 1,456 1,659 1,896 2,054 2,184 2,212 3,081 3,318 3,792 4,108 4,368 4,424

Collatz Trajectory (153 steps to reach 1)

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

345,072 172,536 86,268 43,134 21,567 64,702 32,351 97,054 48,527 145,582 72,791 218,374 109,187 327,562 163,781 491,344 245,672 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365

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