5,432,364

2² × 3² × 7 × 21557

5,432,364 has digital root 9. The neighboring primes are 5432363 and 5432369; its proper-divisor sum differs from the starting integer by 4,829,496.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 21557

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 15,694,224

Proper Divisor Sum 10,261,860

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5432363 ← → #5432369

Radix Representation

Decimal	5432364
Binary	10100101110010000101100 (23 bits)
Octal	0o24562054
Hexadecimal	0x52E42C

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 21,557 43,114 64,671 86,228 129,342 150,899 194,013 258,684 301,798 388,026 452,697 603,596 776,052 905,394 1,358,091 1,810,788 2,716,182 5,432,364

Collatz Trajectory (157 steps to reach 1)

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

5,432,364 2,716,182 1,358,091 4,074,274 2,037,137 6,111,412 3,055,706 1,527,853 4,583,560 2,291,780 1,145,890 572,945 1,718,836 859,418 429,709 1,289,128 644,564 322,282 161,141 483,424 241,712 120,856 60,428 30,214 15,107 45,322 22,661 67,984 33,992 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161

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