λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,692,871
3,692,871
35 × 7 × 13 × 167
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 7 × 13 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,849,024
Proper Divisor Sum 3,156,153
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3692849 ← → #3692873

Radix Representation

Decimal 3692871
Binary 1110000101100101000111 (22 bits)
Octal 0o16054507
Hexadecimal 0x385947

Divisor Catalog (48)

1 3 7 9 13 21 27 39 63 81 91 117 167 189 243 273 351 501 567 819 1,053 1,169 1,503 1,701 2,171 2,457 3,159 3,507 4,509 6,513 7,371 10,521 13,527 15,197 19,539 22,113 31,563 40,581 45,591 58,617 94,689 136,773 175,851 284,067 410,319 527,553 1,230,957 3,692,871

Collatz Trajectory (234 steps to reach 1)

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

3,692,871 11,078,614 5,539,307 16,617,922 8,308,961 24,926,884 12,463,442 6,231,721 18,695,164 9,347,582 4,673,791 14,021,374 7,010,687 21,032,062 10,516,031 31,548,094 15,774,047 47,322,142 23,661,071 70,983,214 35,491,607 106,474,822 53,237,411 159,712,234 79,856,117 239,568,352 119,784,176 59,892,088 29,946,044 14,973,022 7,486,511 22,459,534 11,229,767 33,689,302 16,844,651 50,533,954 25,266,977 75,800,932 37,900,466 18,950,233 56,850,700 28,425,350 14,212,675 42,638,026 21,319,013 63,957,040 31,978,520 15,989,260 7,994,630 3,997,315 11,991,946 5,995,973 17,987,920 8,993,960 4,496,980 2,248,490 1,124,245 3,372,736 1,686,368 843,184

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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