λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,258,234
31,258,234
2 × 7 × 53 × 103 × 409
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 53 × 103 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,261,440
Proper Divisor Sum 24,003,206
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #31258217 ← → #31258237

Radix Representation

Decimal 31258234
Binary 1110111001111011001111010 (25 bits)
Octal 0o167173172
Hexadecimal 0x1DCF67A

Divisor Catalog (32)

1 2 7 14 53 103 106 206 371 409 721 742 818 1,442 2,863 5,459 5,726 10,918 21,677 38,213 42,127 43,354 76,426 84,254 151,739 294,889 303,478 589,778 2,232,731 4,465,462 15,629,117 31,258,234

Collatz Trajectory (201 steps to reach 1)

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

31,258,234 15,629,117 46,887,352 23,443,676 11,721,838 5,860,919 17,582,758 8,791,379 26,374,138 13,187,069 39,561,208 19,780,604 9,890,302 4,945,151 14,835,454 7,417,727 22,253,182 11,126,591 33,379,774 16,689,887 50,069,662 25,034,831 75,104,494 37,552,247 112,656,742 56,328,371 168,985,114 84,492,557 253,477,672 126,738,836 63,369,418 31,684,709 95,054,128 47,527,064 23,763,532 11,881,766 5,940,883 17,822,650 8,911,325 26,733,976 13,366,988 6,683,494 3,341,747 10,025,242 5,012,621 15,037,864 7,518,932 3,759,466 1,879,733 5,639,200 2,819,600 1,409,800 704,900 352,450 176,225 528,676 264,338 132,169 396,508 198,254

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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