λ
Prime Ledger

1,373,176

23 × 72 × 31 × 113
Abundant Even Composite

1,373,176 has the prime decomposition 2^3 × 7^2 × 31 × 113. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 31 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,119,040
Proper Divisor Sum 1,745,864
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1373173 ← → #1373189

Radix Representation

Decimal 1373176
Binary 101001111001111111000 (21 bits)
Octal 0o5171770
Hexadecimal 0x14F3F8

Divisor Catalog (48)

1 2 4 7 8 14 28 31 49 56 62 98 113 124 196 217 226 248 392 434 452 791 868 904 1,519 1,582 1,736 3,038 3,164 3,503 5,537 6,076 6,328 7,006 11,074 12,152 14,012 22,148 24,521 28,024 44,296 49,042 98,084 171,647 196,168 343,294 686,588 1,373,176

Collatz Trajectory (199 steps to reach 1)

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

1,373,176 686,588 343,294 171,647 514,942 257,471 772,414 386,207 1,158,622 579,311 1,737,934 868,967 2,606,902 1,303,451 3,910,354 1,955,177 5,865,532 2,932,766 1,466,383 4,399,150 2,199,575 6,598,726 3,299,363 9,898,090 4,949,045 14,847,136 7,423,568 3,711,784 1,855,892 927,946 463,973 1,391,920 695,960 347,980 173,990 86,995 260,986 130,493 391,480 195,740 97,870 48,935 146,806 73,403 220,210 110,105 330,316 165,158 82,579 247,738 123,869 371,608 185,804 92,902 46,451 139,354 69,677 209,032 104,516 52,258

More profiles

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