λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,372,809
61,372,809
35 × 23 × 79 × 139
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 23 × 79 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 97,843,200
Proper Divisor Sum 36,470,391
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #61372783 ← → #61372813

Radix Representation

Decimal 61372809
Binary 11101010000111100110001001 (26 bits)
Octal 0o352074611
Hexadecimal 0x3A87989

Divisor Catalog (48)

1 3 9 23 27 69 79 81 139 207 237 243 417 621 711 1,251 1,817 1,863 2,133 3,197 3,753 5,451 5,589 6,399 9,591 10,981 11,259 16,353 19,197 28,773 32,943 33,777 49,059 86,319 98,829 147,177 252,563 258,957 296,487 441,531 757,689 776,871 889,461 2,273,067 2,668,383 6,819,201 20,457,603 61,372,809

Collatz Trajectory (282 steps to reach 1)

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

61,372,809 184,118,428 92,059,214 46,029,607 138,088,822 69,044,411 207,133,234 103,566,617 310,699,852 155,349,926 77,674,963 233,024,890 116,512,445 349,537,336 174,768,668 87,384,334 43,692,167 131,076,502 65,538,251 196,614,754 98,307,377 294,922,132 147,461,066 73,730,533 221,191,600 110,595,800 55,297,900 27,648,950 13,824,475 41,473,426 20,736,713 62,210,140 31,105,070 15,552,535 46,657,606 23,328,803 69,986,410 34,993,205 104,979,616 52,489,808 26,244,904 13,122,452 6,561,226 3,280,613 9,841,840 4,920,920 2,460,460 1,230,230 615,115 1,845,346 922,673 2,768,020 1,384,010 692,005 2,076,016 1,038,008 519,004 259,502 129,751 389,254

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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