461,983

461983

Starting at 461,983, the Collatz iteration reaches 1 after 187 steps. The first transition is 1385950; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 461983

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 461,984

Proper Divisor Sum 1

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #461977 ← → #462013

Radix Representation

Decimal	461983
Binary	1110000110010011111 (19 bits)
Octal	0o1606237
Hexadecimal	0x70C9F

Divisor Catalog (2)

1 461,983

Collatz Trajectory (187 steps to reach 1)

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

461,983 1,385,950 692,975 2,078,926 1,039,463 3,118,390 1,559,195 4,677,586 2,338,793 7,016,380 3,508,190 1,754,095 5,262,286 2,631,143 7,893,430 3,946,715 11,840,146 5,920,073 17,760,220 8,880,110 4,440,055 13,320,166 6,660,083 19,980,250 9,990,125 29,970,376 14,985,188 7,492,594 3,746,297 11,238,892 5,619,446 2,809,723 8,429,170 4,214,585 12,643,756 6,321,878 3,160,939 9,482,818 4,741,409 14,224,228 7,112,114 3,556,057 10,668,172 5,334,086 2,667,043 8,001,130 4,000,565 12,001,696 6,000,848 3,000,424 1,500,212 750,106 375,053 1,125,160 562,580 281,290 140,645 421,936 210,968 105,484

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