136,152

2³ × 3² × 31 × 61

136,152 has digital root 9. The neighboring primes are 136139 and 136163; its proper-divisor sum differs from the starting integer by 114,576.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 31 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 386,880

Proper Divisor Sum 250,728

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #136139 ← → #136163

Radix Representation

Decimal	136152
Binary	100001001111011000 (18 bits)
Octal	0o411730
Hexadecimal	0x213D8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 31 36 61 62 72 93 122 124 183 186 244 248 279 366 372 488 549 558 732 744 1,098 1,116 1,464 1,891 2,196 2,232 3,782 4,392 5,673 7,564 11,346 15,128 17,019 22,692 34,038 45,384 68,076 136,152

Collatz Trajectory (162 steps to reach 1)

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

136,152 68,076 34,038 17,019 51,058 25,529 76,588 38,294 19,147 57,442 28,721 86,164 43,082 21,541 64,624 32,312 16,156 8,078 4,039 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 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

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