365,072

2⁴ × 22817

365,072 has digital root 5. The neighboring primes are 365069 and 365089; its proper-divisor sum differs from the starting integer by -22,786.

Prime Factor Structure

Factorization String 2^4 × 22817

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 707,358

Proper Divisor Sum 342,286

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #365069 ← → #365089

Radix Representation

Decimal	365072
Binary	1011001001000010000 (19 bits)
Octal	0o1311020
Hexadecimal	0x59210

Divisor Catalog (10)

1 2 4 8 16 22,817 45,634 91,268 182,536 365,072

Collatz Trajectory (73 steps to reach 1)

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

365,072 182,536 91,268 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

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